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230545020 = 22355037639
BaseRepresentation
bin11011011110111…
…01011001111100
3121001210220022110
431233131121330
5433004420040
634513214020
75466412626
oct1557353174
9531726273
10230545020
11109155982
1265261310
13389c0394
1422893c16
151538e980
hexdbdd67c

230545020 has 48 divisors (see below), whose sum is σ = 646894080. Its totient is φ = 61348416.

The previous prime is 230545013. The next prime is 230545061. The reversal of 230545020 is 20545032.

230545020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26361 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (13476960).

Almost surely, 2230545020 is an apocalyptic number.

230545020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230545020 is an abundant number, since it is smaller than the sum of its proper divisors (416349060).

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

230545020 is a wasteful number, since it uses less digits than its factorization.

230545020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 230545020 is about 15183.7090330393. The cubic root of 230545020 is about 613.1761418476.

The spelling of 230545020 in words is "two hundred thirty million, five hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 503 1006 1509 2012 2515 3018 5030 6036 7545 7639 10060 15090 15278 22917 30180 30556 38195 45834 76390 91668 114585 152780 229170 458340 3842417 7684834 11527251 15369668 19212085 23054502 38424170 46109004 57636255 76848340 115272510 230545020