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232300920 = 233517234951
BaseRepresentation
bin11011101100010…
…10000101111000
3121012010002221210
431312022011320
5433432112140
635015003120
75520345105
oct1566120570
9535102853
10232300920
1110a145135
12659694a0
1339186687
1422bcdaac
15155d9d80
hexdd8a178

232300920 has 128 divisors (see below), whose sum is σ = 770135040. Its totient is φ = 55756800.

The previous prime is 232300919. The next prime is 232300951. The reversal of 232300920 is 29003232.

232300920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 44445 + ... + 49395.

It is an arithmetic number, because the mean of its divisors is an integer number (6016680).

Almost surely, 2232300920 is an apocalyptic number.

232300920 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 232300920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385067520).

232300920 is an abundant number, since it is smaller than the sum of its proper divisors (537834120).

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

232300920 is a wasteful number, since it uses less digits than its factorization.

232300920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 232300920 is about 15241.4211935764. The cubic root of 232300920 is about 614.7289174775.

The spelling of 232300920 in words is "two hundred thirty-two million, three hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 4951 5865 7820 9384 9902 11730 14853 15640 19804 23460 24755 29706 39608 46920 49510 59412 74265 84167 99020 113873 118824 148530 168334 198040 227746 252501 297060 336668 341619 420835 455492 505002 569365 594120 673336 683238 841670 910984 1010004 1138730 1262505 1366476 1683340 1708095 1935841 2020008 2277460 2525010 2732952 3366680 3416190 3871682 4554920 5050020 5807523 6832380 7743364 9679205 10100040 11615046 13664760 15486728 19358410 23230092 29037615 38716820 46460184 58075230 77433640 116150460 232300920