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221442130154340 = 223254149161111423
BaseRepresentation
bin110010010110011010000011…
…100000011001001101100100
31002001001122211210101221121200
4302112122003200121031210
5213011101440304414330
62102545035445442500
764433444263364664
oct6226320340311544
91061048753357550
10221442130154340
1164616097540147
1220a04b75410430
139673b98647194
143c97bdb9141a4
151a90340a8da60
hexc96683819364

221442130154340 has 144 divisors (see below), whose sum is σ = 689492330182656. Its totient is φ = 57493625817600.

The previous prime is 221442130154339. The next prime is 221442130154347. The reversal of 221442130154340 is 43451031244122.

221442130154340 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 2 + 1 + 301 + 5 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221442130154295 and 221442130154304.

It is not an unprimeable number, because it can be changed into a prime (221442130154347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26932132 + ... + 34179291.

It is an arithmetic number, because the mean of its divisors is an integer number (4788141181824).

Almost surely, 2221442130154340 is an apocalyptic number.

221442130154340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442130154340 is an abundant number, since it is smaller than the sum of its proper divisors (468050200028316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221442130154340 is a wasteful number, since it uses less digits than its factorization.

221442130154340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61111970 (or 61111965 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 221442130154340 its reverse (43451031244122), we get a palindrome (264893161398462).

The spelling of 221442130154340 in words is "two hundred twenty-one trillion, four hundred forty-two billion, one hundred thirty million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 491 492 615 738 820 982 1230 1473 1476 1845 1964 2455 2460 2946 3690 4419 4910 5892 7365 7380 8838 9820 14730 17676 20131 22095 29460 40262 44190 60393 80524 88380 100655 120786 181179 201310 241572 301965 362358 402620 603930 724716 905895 1207860 1811790 3623580 61111423 122222846 183334269 244445692 305557115 366668538 550002807 611114230 733337076 916671345 1100005614 1222228460 1833342690 2200011228 2505568343 2750014035 3666685380 5011136686 5500028070 7516705029 10022273372 11000056140 12527841715 15033410058 22550115087 25055683430 30005708693 30066820116 37583525145 45100230174 50111366860 60011417386 75167050290 90017126079 90200460348 112750575435 120022834772 150028543465 150334100580 180034252158 225501150870 270051378237 300057086930 360068504316 450085630395 451002301740 540102756474 600114173860 900171260790 1080205512948 1230234056413 1350256891185 1800342521580 2460468112826 2700513782370 3690702169239 4920936225652 5401027564740 6151170282065 7381404338478 11072106507717 12302340564130 14762808676956 18453510846195 22144213015434 24604681128260 36907021692390 44288426030868 55360532538585 73814043384780 110721065077170 221442130154340