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65225088 = 2737233
BaseRepresentation
bin1111100011010…
…0000110000000
311112201210000000
43320310012000
5113144200323
610250000000
71421255415
oct370640600
9145653000
1065225088
11338aa635
1219a16000
1310689336
14893c10c
155ad5e43
hex3e34180

65225088 has 128 divisors (see below), whose sum is σ = 195717600. Its totient is φ = 21648384.

The previous prime is 65225087. The next prime is 65225099. The reversal of 65225088 is 88052256.

65225088 is a `hidden beast` number, since 6 + 522 + 50 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65225087) 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, 279820 + ... + 280052.

Almost surely, 265225088 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 65225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97858800).

65225088 is an abundant number, since it is smaller than the sum of its proper divisors (130492512).

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

65225088 is an frugal number, since it uses more digits than its factorization.

65225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65225088 is about 8076.2050494028. The cubic root of 65225088 is about 402.5361525080.

The spelling of 65225088 in words is "sixty-five million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 243 288 324 384 432 466 486 576 648 699 729 864 932 972 1152 1296 1398 1458 1728 1864 1944 2097 2187 2592 2796 2916 3456 3728 3888 4194 4374 5184 5592 5832 6291 7456 7776 8388 8748 10368 11184 11664 12582 14912 15552 16776 17496 18873 22368 23328 25164 29824 31104 33552 34992 37746 44736 46656 50328 56619 67104 69984 75492 89472 93312 100656 113238 134208 139968 150984 169857 201312 226476 268416 279936 301968 339714 402624 452952 509571 603936 679428 805248 905904 1019142 1207872 1358856 1811808 2038284 2415744 2717712 3623616 4076568 5435424 7247232 8153136 10870848 16306272 21741696 32612544 65225088