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225156435136 = 2667300117497
BaseRepresentation
bin1101000110110001011…
…1101000110011000000
3210112011112112222222021
43101230113220303000
512142110021411021
6251234015451224
722160405056333
oct3215427506300
9715145488867
10225156435136
1187540a35266
1237778526b14
1318303098659
14ac7d14a61a
155ccbc47c41
hex346c5e8cc0

225156435136 has 56 divisors (see below), whose sum is σ = 453640409456. Its totient is φ = 110854656000.

The previous prime is 225156435131. The next prime is 225156435137. The reversal of 225156435136 is 631534651522.

It is a junction number, because it is equal to n+sod(n) for n = 225156435092 and 225156435101.

It is not an unprimeable number, because it can be changed into a prime (225156435131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12859540 + ... + 12877036.

Almost surely, 2225156435136 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 225156435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226820204728).

225156435136 is an abundant number, since it is smaller than the sum of its proper divisors (228483974320).

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

225156435136 is a wasteful number, since it uses less digits than its factorization.

225156435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20577 (or 20567 counting only the distinct ones).

The product of its digits is 648000, while the sum is 43.

The spelling of 225156435136 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 3001 4288 6002 12004 17497 24008 34994 48016 69988 96032 139976 192064 201067 279952 402134 559904 804268 1119808 1172299 1608536 2344598 3217072 4689196 6434144 9378392 12868288 18756784 37513568 52508497 75027136 105016994 210033988 420067976 840135952 1680271904 3360543808 3518069299 7036138598 14072277196 28144554392 56289108784 112578217568 225156435136