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125252232 = 23372731459
BaseRepresentation
bin1110111011100…
…11001010001000
322201200110202120
413131303022020
5224031032412
620232331240
73050424600
oct735631210
9281613676
10125252232
1164779946
1235b43b20
131cc45761
14128c5c00
15aee1b8c
hex7773288

125252232 has 96 divisors (see below), whose sum is σ = 369496800. Its totient is φ = 35271936.

The previous prime is 125252219. The next prime is 125252293. The reversal of 125252232 is 232252521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85119 + ... + 86577.

It is an arithmetic number, because the mean of its divisors is an integer number (3848925).

Almost surely, 2125252232 is an apocalyptic number.

125252232 is a gapful number since it is divisible by the number (12) 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 125252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184748400).

125252232 is an abundant number, since it is smaller than the sum of its proper divisors (244244568).

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

125252232 is a wasteful number, since it uses less digits than its factorization.

125252232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1544 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 125252232 is about 11191.6143607614. The cubic root of 125252232 is about 500.3360833786.

The spelling of 125252232 in words is "one hundred twenty-five million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 511 584 588 876 1022 1176 1459 1533 1752 2044 2918 3066 3577 4088 4377 5836 6132 7154 8754 10213 10731 11672 12264 14308 17508 20426 21462 28616 30639 35016 40852 42924 61278 71491 81704 85848 106507 122556 142982 213014 214473 245112 285964 319521 426028 428946 571928 639042 745549 852056 857892 1278084 1491098 1715784 2236647 2556168 2982196 4473294 5218843 5964392 8946588 10437686 15656529 17893176 20875372 31313058 41750744 62626116 125252232