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225151255502336 = 293139829142939
BaseRepresentation
bin110011001100011000011100…
…100110101101111000000000
31002112012020202010010022221102
4303030120130212231320000
5214002334232402033321
62114505020414313532
765265433000553522
oct6314303446557000
91075166663108842
10225151255502336
1165816125060529
12213039a3ab88a8
1398828980414c7
143d85543a35a12
151b06a7a576c0b
hexccc61c9ade00

225151255502336 has 80 divisors (see below), whose sum is σ = 451349096444400. Its totient is φ = 112203759403008.

The previous prime is 225151255502321. The next prime is 225151255502413. The reversal of 225151255502336 is 633205552151522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575084755 + ... + 1575227693.

It is an arithmetic number, because the mean of its divisors is an integer number (5641863705555).

Almost surely, 2225151255502336 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 225151255502336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225674548222200).

225151255502336 is an abundant number, since it is smaller than the sum of its proper divisors (226197840942064).

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

225151255502336 is an equidigital number, since it uses as much as digits as its factorization.

225151255502336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153099 (or 153083 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 47.

The spelling of 225151255502336 in words is "two hundred twenty-five trillion, one hundred fifty-one billion, two hundred fifty-five million, five hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 1252 2504 5008 9829 10016 19658 20032 39316 40064 78632 80128 142939 157264 160256 285878 314528 571756 629056 1143512 1258112 2287024 2516224 3076477 4574048 5032448 6152954 9148096 12305908 18296192 24611816 36592384 44739907 49223632 73184768 89479814 98447264 178959628 196894528 357919256 393789056 715838512 787578112 1404947431 1431677024 1575156224 2809894862 2863354048 5619789724 5726708096 11239579448 11453416192 22479158896 22906832384 44958317792 89916635584 179833271168 359666542336 439748545903 719333084672 879497091806 1758994183612 3517988367224 7035976734448 14071953468896 28143906937792 56287813875584 112575627751168 225151255502336