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225006552512 = 26737123111027
BaseRepresentation
bin1101000110001101101…
…1111000010111000000
3210111210002112011122222
43101203123320113000
512141303134140022
6251211103150212
722153605065630
oct3214333702700
9714702464588
10225006552512
1187474373225
12377362a5368
13182ab00b001
14ac672926c0
155cbd9dd242
hex34636f85c0

225006552512 has 112 divisors (see below), whose sum is σ = 524547437568. Its totient is φ = 93740405760.

The previous prime is 225006552499. The next prime is 225006552517. The reversal of 225006552512 is 215255600522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×2250065525124 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006552517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20399543 + ... + 20410569.

It is an arithmetic number, because the mean of its divisors is an integer number (4683459264).

Almost surely, 2225006552512 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 225006552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262273718784).

225006552512 is an abundant number, since it is smaller than the sum of its proper divisors (299540885056).

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

225006552512 is a wasteful number, since it uses less digits than its factorization.

225006552512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12314 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 225006552512 in words is "two hundred twenty-five billion, six million, five hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 1231 2072 2368 2462 4144 4924 8288 8617 9848 11027 16576 17234 19696 22054 34468 39392 44108 45547 68936 77189 78784 88216 91094 137872 154378 176432 182188 275744 308756 318829 352864 364376 407999 551488 617512 637658 705728 728752 815998 1235024 1275316 1457504 1631996 2470048 2550632 2855993 2915008 3263992 4940096 5101264 5711986 6527984 10202528 11423972 13055968 13574237 20405056 22847944 26111936 27148474 45695888 54296948 91391776 95019659 108593896 182783552 190039318 217187792 380078636 434375584 502246769 760157272 868751168 1004493538 1520314544 2008987076 3040629088 3515727383 4017974152 6081258176 7031454766 8035948304 14062909532 16071896608 28125819064 32143793216 56251638128 112503276256 225006552512