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224013505322214 = 232211149393948187
BaseRepresentation
bin110010111011110100110101…
…011010001101110011100110
31002101011111000100102201101100
4302323310311122031303212
5213330214124330302324
62112234214511340530
765120304330602016
oct6273646532156346
91071144010381340
10224013505322214
1165417659809473
122115b399821746
1397cc4c933975a
143d46450ac9c46
151ad718a89c4c9
hexcbbd3568dce6

224013505322214 has 48 divisors (see below), whose sum is σ = 487695658656960. Its totient is φ = 74312283109680.

The previous prime is 224013505322147. The next prime is 224013505322219. The reversal of 224013505322214 is 412223505310422.

224013505322214 is a `hidden beast` number, since 2 + 2 + 40 + 1 + 3 + 50 + 532 + 22 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013505322219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54764229 + ... + 58712415.

It is an arithmetic number, because the mean of its divisors is an integer number (10160326222020).

Almost surely, 2224013505322214 is an apocalyptic number.

224013505322214 is an abundant number, since it is smaller than the sum of its proper divisors (263682153334746).

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

224013505322214 is a wasteful number, since it uses less digits than its factorization.

224013505322214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963345 (or 3963342 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 224013505322214 in words is "two hundred twenty-four trillion, thirteen billion, five hundred five million, three hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 211 422 633 1266 1899 3798 14939 29878 44817 89634 134451 268902 3152129 3948187 6304258 7896374 9456387 11844561 18912774 23689122 28369161 35533683 56738322 71067366 833067457 1666134914 2499202371 4998404742 7497607113 14995214226 58981965593 117963931186 176945896779 353891793558 530837690337 1061675380674 12445194740123 24890389480246 37335584220369 74671168440738 112006752661107 224013505322214