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149221632 = 283741677
BaseRepresentation
bin10001110010011…
…11000100000000
3101101210020121010
420321033010000
5301200043012
622450200520
73461235330
oct1071170400
9341706533
10149221632
117726046a
1241b83140
1324bb8831
1415b650c0
15d178c3c
hex8e4f100

149221632 has 144 divisors (see below), whose sum is σ = 465639552. Its totient is φ = 41533440.

The previous prime is 149221627. The next prime is 149221637. The reversal of 149221632 is 236122941.

It is an interprime number because it is at equal distance from previous prime (149221627) and next prime (149221637).

It is a self number, because there is not a number n which added to its sum of digits gives 149221632.

It is not an unprimeable number, because it can be changed into a prime (149221637) 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, 220078 + ... + 220754.

It is an arithmetic number, because the mean of its divisors is an integer number (3233608).

Almost surely, 2149221632 is an apocalyptic number.

149221632 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 149221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232819776).

149221632 is an abundant number, since it is smaller than the sum of its proper divisors (316417920).

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

149221632 is an equidigital number, since it uses as much as digits as its factorization.

149221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 149221632 is about 12215.6306427462. The cubic root of 149221632 is about 530.4086465107.

The spelling of 149221632 in words is "one hundred forty-nine million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 677 768 861 896 984 1148 1312 1344 1354 1722 1792 1968 2031 2296 2624 2688 2708 3444 3936 4062 4592 4739 5248 5376 5416 6888 7872 8124 9184 9478 10496 10832 13776 14217 15744 16248 18368 18956 21664 27552 27757 28434 31488 32496 36736 37912 43328 55104 55514 56868 64992 73472 75824 83271 86656 110208 111028 113736 129984 151648 166542 173312 194299 220416 222056 227472 259968 303296 333084 388598 444112 454944 519936 582897 606592 666168 777196 888224 909888 1165794 1213184 1332336 1554392 1776448 1819776 2331588 2664672 3108784 3552896 3639552 4663176 5329344 6217568 7105792 9326352 10658688 12435136 18652704 21317376 24870272 37305408 49740544 74610816 149221632