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232623380 = 2251123311483
BaseRepresentation
bin11011101110110…
…00110100010100
3121012201111021202
431313120310110
5434022422010
635025532032
75523160163
oct1567306424
9535644252
10232623380
1110a345430
1265aa4018
133926a392
1422c753da
15156506a5
hexddd8d14

232623380 has 96 divisors (see below), whose sum is σ = 574414848. Its totient is φ = 78249600.

The previous prime is 232623379. The next prime is 232623389. The reversal of 232623380 is 83326232.

It is a happy number.

It is a super-2 number, since 2×2326233802 = 108227273845248800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232623389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156119 + ... + 157601.

It is an arithmetic number, because the mean of its divisors is an integer number (5983488).

Almost surely, 2232623380 is an apocalyptic number.

232623380 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 232623380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287207424).

232623380 is an abundant number, since it is smaller than the sum of its proper divisors (341791468).

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

232623380 is a wasteful number, since it uses less digits than its factorization.

232623380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 232623380 is about 15251.9959349588. The cubic root of 232623380 is about 615.0132237666.

The spelling of 232623380 in words is "two hundred thirty-two million, six hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 460 506 620 682 713 1012 1265 1364 1426 1483 1705 2530 2852 2966 3410 3565 5060 5932 6820 7130 7415 7843 14260 14830 15686 16313 29660 31372 32626 34109 39215 45973 65252 68218 78430 81565 91946 136436 156860 163130 170545 183892 229865 326260 341090 375199 459730 505703 682180 750398 919460 1011406 1057379 1500796 1875995 2022812 2114758 2528515 3751990 4229516 5057030 5286895 7503980 10114060 10573790 11631169 21147580 23262338 46524676 58155845 116311690 232623380