Search a number
-
+
125222544 = 243317359
BaseRepresentation
bin1110111011010…
…11111010010000
322201121222001000
413131223322100
5224024110134
620231542000
73050242206
oct735537220
9281558030
10125222544
1164759607
1235b2a900
131cc350a5
14128b9076
15aed7e99
hex776be90

125222544 has 160 divisors (see below), whose sum is σ = 388368000. Its totient is φ = 38619648.

The previous prime is 125222477. The next prime is 125222593. The reversal of 125222544 is 445222521.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122387 + ... + 2122445.

It is an arithmetic number, because the mean of its divisors is an integer number (2427300).

Almost surely, 2125222544 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 125222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194184000).

125222544 is an abundant number, since it is smaller than the sum of its proper divisors (263145456).

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

125222544 is an equidigital number, since it uses as much as digits as its factorization.

125222544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 125222544 is about 11190.2879319524. The cubic root of 125222544 is about 500.2965494154.

The spelling of 125222544 in words is "one hundred twenty-five million, two hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 102 108 118 136 144 153 177 204 216 236 272 289 306 354 408 432 459 472 531 578 612 708 816 867 918 944 1003 1062 1156 1224 1416 1593 1734 1836 2006 2124 2312 2448 2601 2832 3009 3186 3468 3672 4012 4248 4624 4913 5202 6018 6372 6936 7344 7803 8024 8496 9027 9826 10404 12036 12744 13872 14739 15606 16048 17051 18054 19652 20808 24072 25488 27081 29478 31212 34102 36108 39304 41616 44217 48144 51153 54162 58956 62424 68204 72216 78608 88434 102306 108324 117912 124848 132651 136408 144432 153459 176868 204612 216648 235824 265302 272816 289867 306918 353736 409224 433296 460377 530604 579734 613836 707472 818448 869601 920754 1061208 1159468 1227672 1739202 1841508 2122416 2318936 2455344 2608803 3478404 3683016 4637872 5217606 6956808 7366032 7826409 10435212 13913616 15652818 20870424 31305636 41740848 62611272 125222544