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222125535540 = 2232519232823869
BaseRepresentation
bin1100111011011110110…
…1101011000100110100
3210020100022101100100200
43032313231223010310
512114403114114130
6250013145040500
722022322620346
oct3166755530464
9706308340320
10222125535540
118622608a567
1237071486130
1317c3c18583c
14aa727bd296
155ba0aed760
hex33b7b6b134

222125535540 has 144 divisors (see below), whose sum is σ = 740079849600. Its totient is φ = 53676082944.

The previous prime is 222125535469. The next prime is 222125535553. The reversal of 222125535540 is 45535521222.

222125535540 is a `hidden beast` number, since 2 + 2 + 2 + 12 + 553 + 55 + 40 = 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 = 222125535495 and 222125535504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333275 + ... + 1490594.

It is an arithmetic number, because the mean of its divisors is an integer number (5139443400).

Almost surely, 2222125535540 is an apocalyptic number.

222125535540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222125535540 is an abundant number, since it is smaller than the sum of its proper divisors (517954314060).

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

222125535540 is a wasteful number, since it uses less digits than its factorization.

222125535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823926 (or 2823921 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 222125535540 in words is "two hundred twenty-two billion, one hundred twenty-five million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 3420 3933 4140 4370 5244 6555 7866 8740 13110 15732 19665 26220 39330 78660 2823869 5647738 8471607 11295476 14119345 16943214 25414821 28238690 33886428 42358035 50829642 53653511 56477380 64948987 84716070 101659284 107307022 127074105 129897974 160960533 169432140 194846961 214614044 254148210 259795948 268267555 321921066 324744935 389693922 482881599 508296420 536535110 584540883 643842132 649489870 779387844 804802665 965763198 974234805 1073070220 1169081766 1234030753 1298979740 1609605330 1931526396 1948469610 2338163532 2414407995 2468061506 2922704415 3219210660 3702092259 3896939220 4828815990 4936123012 5845408830 6170153765 7404184518 9657631980 11106276777 11690817660 12340307530 14808369036 18510461295 22212553554 24680615060 37020922590 44425107108 55531383885 74041845180 111062767770 222125535540