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2522265152 = 261131472459
BaseRepresentation
bin1001011001010110…
…1011011001000000
320111210002100022212
42112111223121000
520131144441102
61054140521252
7116334620501
oct22625533100
96453070285
102522265152
111084831160
125a4850228
133127268b4
1419cda8ba8
15eb677c52
hex9656b640

2522265152 has 112 divisors (see below), whose sum is σ = 5758525440. Its totient is φ = 1085452800.

The previous prime is 2522265139. The next prime is 2522265157. The reversal of 2522265152 is 2515622252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2522265157) 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, 1024499 + ... + 1026957.

Almost surely, 22522265152 is an apocalyptic number.

2522265152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2522265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879262720).

2522265152 is an abundant number, since it is smaller than the sum of its proper divisors (3236260288).

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

2522265152 is a wasteful number, since it uses less digits than its factorization.

2522265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2550 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 2522265152 is about 50222.1579783267. The cubic root of 2522265152 is about 1361.2260339654.

The spelling of 2522265152 in words is "two billion, five hundred twenty-two million, two hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 64 88 94 124 176 188 248 341 352 376 496 517 682 704 752 992 1034 1364 1457 1504 1984 2068 2459 2728 2914 3008 4136 4918 5456 5828 8272 9836 10912 11656 16027 16544 19672 21824 23312 27049 32054 33088 39344 46624 54098 64108 76229 78688 93248 108196 115573 128216 152458 157376 216392 231146 256432 304916 432784 462292 512864 609832 838519 865568 924584 1025728 1219664 1271303 1677038 1731136 1849168 2439328 2542606 3354076 3582763 3698336 4878656 5085212 6708152 7165526 7396672 10170424 13416304 14331052 20340848 26832608 28662104 39410393 40681696 53665216 57324208 78820786 81363392 114648416 157641572 229296832 315283144 630566288 1261132576 2522265152