Search a number
-
+
233230102020 = 223254672774567
BaseRepresentation
bin1101100100110110011…
…0001110111000000100
3211022000012120202211200
43121031212032320010
512310123401231040
6255051110302500
722564442104626
oct3311546167004
9738005522750
10233230102020
118aa04348733
1239250357a30
1318cbb962336
14b40750cc16
156100945630
hex364d98ee04

233230102020 has 72 divisors (see below), whose sum is σ = 708979811904. Its totient is φ = 62061492288.

The previous prime is 233230101983. The next prime is 233230102097. The reversal of 233230102020 is 20201032332.

It is a happy number.

233230102020 is a `hidden beast` number, since 233 + 230 + 1 + 0 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233230101984 and 233230102002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303224 + ... + 1471343.

It is an arithmetic number, because the mean of its divisors is an integer number (9846941832).

Almost surely, 2233230102020 is an apocalyptic number.

233230102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233230102020 is an abundant number, since it is smaller than the sum of its proper divisors (475749709884).

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

233230102020 is a wasteful number, since it uses less digits than its factorization.

233230102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775049 (or 2775044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233230102020 its reverse (20201032332), we get a palindrome (253431134352).

The spelling of 233230102020 in words is "two hundred thirty-three billion, two hundred thirty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 14010 16812 21015 28020 42030 84060 2774567 5549134 8323701 11098268 13872835 16647402 24971103 27745670 33294804 41618505 49942206 55491340 83237010 99884412 124855515 166474020 249711030 499422060 1295722789 2591445578 3887168367 5182891156 6478613945 7774336734 11661505101 12957227890 15548673468 19435841835 23323010202 25914455780 38871683670 46646020404 58307525505 77743367340 116615051010 233230102020