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232022538 = 2321131103367
BaseRepresentation
bin11011101010001…
…10001000001010
3121011120222002100
431311012020022
5433344210123
635005014230
75515105356
oct1565061012
9534528070
10232022538
11109a74a70
1265854376
13390b9a57
1422b5a466
1515582643
hexdd4620a

232022538 has 96 divisors (see below), whose sum is σ = 573161472. Its totient is φ = 67197600.

The previous prime is 232022537. The next prime is 232022621. The reversal of 232022538 is 835220232.

232022538 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320225382 = 107668916279922888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232022537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632031 + ... + 632397.

It is an arithmetic number, because the mean of its divisors is an integer number (5970432).

Almost surely, 2232022538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232022538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286580736).

232022538 is an abundant number, since it is smaller than the sum of its proper divisors (341138934).

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

232022538 is a wasteful number, since it uses less digits than its factorization.

232022538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232022538 is about 15232.2860398563. The cubic root of 232022538 is about 614.4832621586.

The spelling of 232022538 in words is "two hundred thirty-two million, twenty-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 103 186 198 206 279 309 341 367 558 618 682 734 927 1023 1101 1133 1854 2046 2202 2266 3069 3193 3303 3399 4037 6138 6386 6606 6798 8074 9579 10197 11377 12111 19158 20394 22754 24222 28737 34131 35123 36333 37801 57474 68262 70246 72666 75602 102393 105369 113403 125147 204786 210738 226806 250294 316107 340209 375441 415811 632214 680418 750882 831622 1126323 1171831 1247433 2252646 2343662 2494866 3515493 3742299 7030986 7484598 10546479 12890141 21092958 25780282 38670423 77340846 116011269 232022538