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225215045334 = 232295310180599
BaseRepresentation
bin1101000110111111011…
…1001101111011010110
3210112022121211201001100
43101233313031323112
512142220022422314
6251243512010530
722162016204466
oct3215767157326
9715277751040
10225215045334
1187571026a44
1237794090a46
1318312279b46
14ac86c45ba6
155cd1e73c09
hex346fdcded6

225215045334 has 96 divisors (see below), whose sum is σ = 519415416000. Its totient is φ = 70410412800.

The previous prime is 225215045317. The next prime is 225215045351. The reversal of 225215045334 is 433540512522.

225215045334 is a `hidden beast` number, since 2 + 2 + 52 + 150 + 453 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (225215045317) and next prime (225215045351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2753967 + ... + 2834565.

It is an arithmetic number, because the mean of its divisors is an integer number (5410577250).

Almost surely, 2225215045334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225215045334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259707708000).

225215045334 is an abundant number, since it is smaller than the sum of its proper divisors (294200370666).

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

225215045334 is a wasteful number, since it uses less digits than its factorization.

225215045334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80790 (or 80787 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 225215045334 its reverse (433540512522), we get a palindrome (658755557856).

The spelling of 225215045334 in words is "two hundred twenty-five billion, two hundred fifteen million, forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 101 106 159 174 202 261 303 318 477 522 606 909 954 1537 1818 2929 3074 4611 5353 5858 8787 9222 10706 13833 16059 17574 26361 27666 32118 48177 52722 80599 96354 155237 161198 241797 310474 465711 483594 725391 931422 1397133 1450782 2337371 2794266 4271747 4674742 7012113 8140499 8543494 12815241 14024226 16280998 21036339 24421497 25630482 38445723 42072678 48842994 73264491 76891446 123880663 146528982 236074471 247761326 371641989 431446447 472148942 708223413 743283978 862892894 1114925967 1294339341 1416446826 2124670239 2229851934 2588678682 3883018023 4249340478 7766036046 12511946963 25023893926 37535840889 75071681778 112607522667 225215045334