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2213225605304 = 237271724310979
BaseRepresentation
bin100000001101001110100…
…001101010100010111000
321211120201111102220012222
4200031032201222202320
5242230141223332204
64412424121423212
7315620536150100
oct40151641524270
97746644386188
102213225605304
11783695178aaa
122b8b3093ab08
131309249060ac
1479199266200
153c8875b9abe
hex2034e86a8b8

2213225605304 has 96 divisors (see below), whose sum is σ = 4896428227200. Its totient is φ = 934951469760.

The previous prime is 2213225605271. The next prime is 2213225605343. The reversal of 2213225605304 is 4035065223122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201581687 + ... + 201592665.

It is an arithmetic number, because the mean of its divisors is an integer number (51004460700).

Almost surely, 22213225605304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213225605304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448214113600).

2213225605304 is an abundant number, since it is smaller than the sum of its proper divisors (2683202621896).

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

2213225605304 is a wasteful number, since it uses less digits than its factorization.

2213225605304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 2213225605304 in words is "two trillion, two hundred thirteen billion, two hundred twenty-five million, six hundred five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 71 98 142 196 284 392 497 568 994 1988 3479 3976 6958 7243 10979 13916 14486 21958 27832 28972 43916 50701 57944 76853 87832 101402 153706 202804 307412 354907 405608 514253 537971 614824 709814 779509 1028506 1075942 1419628 1559018 2057012 2151884 2839256 3118036 3599771 4114024 4303768 5456563 6236072 7199542 10913126 14399084 21826252 25198397 28798168 38195941 43652504 50396794 76391882 79520897 100793588 152783764 159041794 201587176 305567528 318083588 556646279 636167176 1113292558 2226585116 3896523953 4453170232 5645983687 7793047906 11291967374 15586095812 22583934748 31172191624 39521885809 45167869496 79043771618 158087543236 276653200663 316175086472 553306401326 1106612802652 2213225605304