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224110202011422 = 23539716344573339
BaseRepresentation
bin110010111101001110111000…
…111110110011111100011110
31002101111201121022022111002220
4302331032320332303330132
5213333310143203331142
62112350445553130210
765130266504105556
oct6275167076637436
91071451538274086
10224110202011422
116545466a549251
1221176085259966
139808669677c0c
143d4adc514c166
151ad9949acd2ec
hexcbd3b8fb3f1e

224110202011422 has 64 divisors (see below), whose sum is σ = 464216002871040. Its totient is φ = 72093273467904.

The previous prime is 224110202011391. The next prime is 224110202011439.

224110202011422 is nontrivially palindromic in base 10.

It is a super-5 number, since 5×2241102020114225 (a number of 73 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224110202011392 and 224110202011401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17258772 + ... + 27314567.

It is an arithmetic number, because the mean of its divisors is an integer number (7253375044860).

Almost surely, 2224110202011422 is an apocalyptic number.

224110202011422 is an abundant number, since it is smaller than the sum of its proper divisors (240105800859618).

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

224110202011422 is a wasteful number, since it uses less digits than its factorization.

224110202011422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44573657.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 22411020 and 2011422, that added together give a palindrome (24422442).

The spelling of 224110202011422 in words is "two hundred twenty-four trillion, one hundred ten billion, two hundred two million, eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 53 97 106 159 163 194 291 318 326 489 582 978 5141 8639 10282 15423 15811 17278 25917 30846 31622 47433 51834 94866 837983 1675966 2513949 5027898 44573339 89146678 133720017 267440034 2362386967 4323613883 4724773934 7087160901 7265454257 8647227766 12970841649 14174321802 14530908514 21796362771 25941683298 43592725542 229151535799 385069075621 458303071598 687454607397 704749062929 770138151242 1155207226863 1374909214794 1409498125858 2114247188787 2310414453726 4228494377574 37351700335237 74703400670474 112055101005711 224110202011422