Search a number
-
+
232626540 = 223553191383
BaseRepresentation
bin11011101110110…
…01100101101100
3121012201122121210
431313121211230
5434023022130
635025554420
75523202326
oct1567314554
9535648553
10232626540
1110a347843
1265aa5a10
133926b953
1422c76616
15156515b0
hexddd996c

232626540 has 96 divisors (see below), whose sum is σ = 668860416. Its totient is φ = 60386560.

The previous prime is 232626473. The next prime is 232626551. The reversal of 232626540 is 45626232.

It is a super-2 number, since 2×2326265402 = 108230214224743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232626498 and 232626507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607189 + ... + 607571.

It is an arithmetic number, because the mean of its divisors is an integer number (6967296).

Almost surely, 2232626540 is an apocalyptic number.

232626540 is a gapful number since it is divisible by the number (20) 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 232626540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334430208).

232626540 is an abundant number, since it is smaller than the sum of its proper divisors (436233876).

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

232626540 is a wasteful number, since it uses less digits than its factorization.

232626540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 232626540 is about 15252.0995276060. The cubic root of 232626540 is about 615.0160085726.

The spelling of 232626540 in words is "two hundred thirty-two million, six hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 191 212 265 318 382 383 530 573 636 764 766 795 955 1060 1146 1149 1532 1590 1910 1915 2292 2298 2865 3180 3820 3830 4596 5730 5745 7660 10123 11460 11490 20246 20299 22980 30369 40492 40598 50615 60738 60897 73153 81196 101230 101495 121476 121794 146306 151845 202460 202990 219459 243588 292612 303690 304485 365765 405980 438918 607380 608970 731530 877836 1097295 1217940 1463060 2194590 3877109 4389180 7754218 11631327 15508436 19385545 23262654 38771090 46525308 58156635 77542180 116313270 232626540