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221430552337356 = 223475125229153947
BaseRepresentation
bin110010010110001111010001…
…011010100001101111001100
31002001000112221220200220111020
4302112033101122201233030
5213010404232344243411
62102535442540554140
764432554336513345
oct6226172132415714
91061015856626436
10221430552337356
116461119612595a
1220a02883b52950
139672a71abcbbb
143c9741ddd30cc
151a8edb4414606
hexc963d16a1bcc

221430552337356 has 48 divisors (see below), whose sum is σ = 516803879370240. Its totient is φ = 73791244072000.

The previous prime is 221430552337327. The next prime is 221430552337363. The reversal of 221430552337356 is 653733255034122.

221430552337356 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221430552337299 and 221430552337308.

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, 1438278775 + ... + 1438432721.

It is an arithmetic number, because the mean of its divisors is an integer number (10766747486880).

Almost surely, 2221430552337356 is an apocalyptic number.

It is an amenable number.

221430552337356 is an abundant number, since it is smaller than the sum of its proper divisors (295373327032884).

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

221430552337356 is a wasteful number, since it uses less digits than its factorization.

221430552337356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183934 (or 183932 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 51.

The spelling of 221430552337356 in words is "two hundred twenty-one trillion, four hundred thirty billion, five hundred fifty-two million, three hundred thirty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 4751 9502 14253 19004 25229 28506 50458 57012 75687 100916 151374 153947 302748 307894 461841 615788 923682 1847364 119862979 239725958 359588937 479451916 719177874 731402197 1438355748 1462804394 2194206591 2925608788 3883928863 4388413182 7767857726 8776826364 11651786589 15535715452 23303573178 46607146356 18452546028113 36905092056226 55357638084339 73810184112452 110715276168678 221430552337356