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230481042 = 231121671901
BaseRepresentation
bin11011011110011…
…01110010010010
3121001200122112220
431233031302102
5433000343132
634512001510
75466025251
oct1557156222
9531618486
10230481042
11109111900
1265230296
133899a21c
1422878798
151537aa2c
hexdbcdc92

230481042 has 48 divisors (see below), whose sum is σ = 509979456. Its totient is φ = 69388000.

The previous prime is 230481023. The next prime is 230481071. The reversal of 230481042 is 240184032.

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, 120292 + ... + 122192.

It is an arithmetic number, because the mean of its divisors is an integer number (10624572).

Almost surely, 2230481042 is an apocalyptic number.

230481042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230481042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254989728).

230481042 is an abundant number, since it is smaller than the sum of its proper divisors (279498414).

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

230481042 is a wasteful number, since it uses less digits than its factorization.

230481042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 230481042 is about 15181.6020893712. The cubic root of 230481042 is about 613.1194162493.

It can be divided in two parts, 23048 and 1042, that added together give a triangular number (24090 = T219).

The spelling of 230481042 in words is "two hundred thirty million, four hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 501 726 1002 1837 1901 3674 3802 5511 5703 11022 11406 20207 20911 40414 41822 60621 62733 121242 125466 230021 317467 460042 634934 690063 952401 1380126 1904802 3492137 6984274 10476411 20952822 38413507 76827014 115240521 230481042