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225977976 = 233272915461
BaseRepresentation
bin11010111100000…
…10011001111000
3120202012212111200
431132002121320
5430322243401
634231254200
75412531630
oct1536023170
9522185450
10225977976
11106616664
126381a360
1337a816a3
14220256c0
1514c8b686
hexd782678

225977976 has 96 divisors (see below), whose sum is σ = 723621600. Its totient is φ = 62334720.

The previous prime is 225977971. The next prime is 225978007. The reversal of 225977976 is 679779522.

225977976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225977971) 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, 6886 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (7537725).

Almost surely, 2225977976 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 225977976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361810800).

225977976 is an abundant number, since it is smaller than the sum of its proper divisors (497643624).

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

225977976 is a wasteful number, since it uses less digits than its factorization.

225977976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15509 (or 15502 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 225977976 is about 15032.5638531822. The cubic root of 225977976 is about 609.1001477338.

The spelling of 225977976 in words is "two hundred twenty-five million, nine hundred seventy-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 15461 30922 46383 61844 92766 108227 123688 139149 185532 216454 278298 324681 371064 432908 448369 556596 649362 865816 896738 974043 1113192 1298724 1345107 1793476 1948086 2597448 2690214 3138583 3586952 3896172 4035321 5380428 6277166 7792344 8070642 9415749 10760856 12554332 16141284 18831498 25108664 28247247 32282568 37662996 56494494 75325992 112988988 225977976