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221421251727240 = 23357325276398599
BaseRepresentation
bin110010010110000110100111…
…000011100000111110001000
31002000222122221201221221220220
4302112012213003200332020
5213010231210420232430
62102531304020350040
764432105013602065
oct6226064703407610
91060878851857826
10221421251727240
1164608253183914
1220a00b09245320
139671c1bc8a1c6
143c96bbaac9c6c
151a8ea1cb58110
hexc961a70e0f88

221421251727240 has 64 divisors (see below), whose sum is σ = 673363258704000. Its totient is φ = 58236822369792.

The previous prime is 221421251727217. The next prime is 221421251727337. The reversal of 221421251727240 is 42727152124122.

It is a junction number, because it is equal to n+sod(n) for n = 221421251727192 and 221421251727201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12638190540 + ... + 12638208059.

It is an arithmetic number, because the mean of its divisors is an integer number (10521300917250).

Almost surely, 2221421251727240 is an apocalyptic number.

221421251727240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221421251727240 is an abundant number, since it is smaller than the sum of its proper divisors (451942006976760).

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

221421251727240 is a wasteful number, since it uses less digits than its factorization.

221421251727240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25276398686 (or 25276398682 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 221421251727240 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty-one million, seven hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 25276398599 50552797198 75829195797 101105594396 126381992995 151658391594 202211188792 252763985990 303316783188 379145978985 505527971980 606633566376 758291957970 1011055943960 1516583915940 1845177097727 3033167831880 3690354195454 5535531293181 7380708390908 9225885488635 11071062586362 14761416781816 18451770977270 22142125172724 27677656465905 36903541954540 44284250345448 55355312931810 73807083909080 110710625863620 221421251727240