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1230020232 = 2337311032293
BaseRepresentation
bin100100101010000…
…1001111010001000
310011201111111112220
41021110021322020
510004341121412
6322015334040
742323666550
oct11124117210
93151444486
101230020232
11581350451
122a3b21320
13167aa572c
14b9506160
1572eba68c
hex49509e88

1230020232 has 128 divisors (see below), whose sum is σ = 3664527360. Its totient is φ = 336648960.

The previous prime is 1230020191. The next prime is 1230020249. The reversal of 1230020232 is 2320200321.

It is a super-2 number, since 2×12300202322 = 3025899542258667648, which contains 22 as substring.

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, 535278 + ... + 537570.

It is an arithmetic number, because the mean of its divisors is an integer number (28629120).

Almost surely, 21230020232 is an apocalyptic number.

1230020232 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 1230020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832263680).

1230020232 is an abundant number, since it is smaller than the sum of its proper divisors (2434507128).

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

1230020232 is a wasteful number, since it uses less digits than its factorization.

1230020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1230020232 is about 35071.6442728310. The cubic root of 1230020232 is about 1071.4471442926.

Adding to 1230020232 its reverse (2320200321), we get a palindrome (3550220553).

The spelling of 1230020232 in words is "one billion, two hundred thirty million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 103 124 168 186 206 217 248 309 372 412 434 618 651 721 744 824 868 1236 1302 1442 1736 2163 2293 2472 2604 2884 3193 4326 4586 5208 5768 6386 6879 8652 9172 9579 12772 13758 16051 17304 18344 19158 22351 25544 27516 32102 38316 44702 48153 55032 64204 67053 71083 76632 89404 96306 128408 134106 142166 178808 192612 213249 236179 268212 284332 385224 426498 472358 497581 536424 568664 708537 852996 944716 995162 1417074 1492743 1653253 1705992 1889432 1990324 2834148 2985486 3306506 3980648 4959759 5668296 5970972 6613012 7321549 9919518 11941944 13226024 14643098 19839036 21964647 29286196 39678072 43929294 51250843 58572392 87858588 102501686 153752529 175717176 205003372 307505058 410006744 615010116 1230020232