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22379248110241 = 1124300612
BaseRepresentation
bin1010001011010100100110…
…01000100100101010100001
32221020102202021112111112001
411011222103020210222201
510413130200004011431
6115332515030204001
74466563426204441
oct505522310445241
987212667474461
1022379248110241
117148a93150300
1226152b8ab3601
13c6447aaa1b19
14575238bc4121
1528c2079bde61
hex145a93224aa1

22379248110241 has 9 divisors (see below), whose sum is σ = 24598734873139. Its totient is φ = 20344723702600.

The previous prime is 22379248110221. The next prime is 22379248110251. The reversal of 22379248110241 is 14201184297322.

The square root of 22379248110241 is 4730671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1219432109841 + 21159816000400 = 1104279^2 + 4599980^2 .

It is not a de Polignac number, because 22379248110241 - 225 = 22379214555809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22379248110191 and 22379248110200.

It is not an unprimeable number, because it can be changed into a prime (22379248110221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51822351 + ... + 52252411.

Almost surely, 222379248110241 is an apocalyptic number.

22379248110241 is the 4730671-st square number.

22379248110241 is the 2365336-th centered octagonal number.

It is an amenable number.

22379248110241 is a deficient number, since it is larger than the sum of its proper divisors (2219486762898).

22379248110241 is an frugal number, since it uses more digits than its factorization.

22379248110241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860144 (or 430072 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 22379248110241 in words is "twenty-two trillion, three hundred seventy-nine billion, two hundred forty-eight million, one hundred ten thousand, two hundred forty-one".

Divisors: 1 11 121 430061 4730671 52037381 184952463721 2034477100931 22379248110241