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22242010401 = 351321731859
BaseRepresentation
bin10100101101101110…
…100010010100100001
32010102002021012100000
4110231232202110201
5331022423313101
614115015250213
71415114653242
oct245556422441
963362235300
1022242010401
119484042686
124388979969
132136027c00
14110dd7acc9
158a29d5486
hex52dba2521

22242010401 has 72 divisors (see below), whose sum is σ = 38200649760. Its totient is φ = 12881846016.

The previous prime is 22242010391. The next prime is 22242010421. The reversal of 22242010401 is 10401024222.

22242010401 is a `hidden beast` number, since 22 + 242 + 0 + 1 + 0 + 401 = 666.

It is not a de Polignac number, because 22242010401 - 211 = 22242008353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22242010421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 682210 + ... + 714068.

It is an arithmetic number, because the mean of its divisors is an integer number (530564580).

Almost surely, 222242010401 is an apocalyptic number.

It is an amenable number.

22242010401 is a deficient number, since it is larger than the sum of its proper divisors (15958639359).

22242010401 is a wasteful number, since it uses less digits than its factorization.

22242010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31917 (or 31892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22242010401 its reverse (10401024222), we get a palindrome (32643034623).

The spelling of 22242010401 in words is "twenty-two billion, two hundred forty-two million, ten thousand, four hundred one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 243 351 459 507 663 1053 1377 1521 1989 2873 3159 4131 4563 5967 8619 13689 17901 25857 31859 41067 53703 77571 95577 232713 286731 414167 541603 698139 860193 1242501 1624809 2580579 3727503 4874427 5384171 7040839 7741737 11182509 14623281 16152513 21122517 33547527 43869843 48457539 63367551 91530907 100642581 131609529 145372617 190102653 274592721 436117851 570307959 823778163 1308353553 1710923877 2471334489 7414003467 22242010401