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230187906 = 23413293769
BaseRepresentation
bin11011011100001…
…10001110000010
3121001010202110000
431232012032002
5432412003111
634501420430
75463364524
oct1556061602
9531122400
10230187906
11108a31643
126510a716
13388c6980
14227dda14
151531dc56
hexdb86382

230187906 has 80 divisors (see below), whose sum is σ = 574774200. Its totient is φ = 68366592.

The previous prime is 230187883. The next prime is 230187911. The reversal of 230187906 is 609781032.

It can be written as a sum of positive squares in 4 ways, for example, as 195860025 + 34327881 = 13995^2 + 5859^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59190 + ... + 62958.

Almost surely, 2230187906 is an apocalyptic number.

230187906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230187906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287387100).

230187906 is an abundant number, since it is smaller than the sum of its proper divisors (344586294).

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

230187906 is a wasteful number, since it uses less digits than its factorization.

230187906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 230187906 is about 15171.9447006638. The cubic root of 230187906 is about 612.8593751622.

The spelling of 230187906 in words is "two hundred thirty million, one hundred eighty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 1053 1131 1566 2106 2262 2349 3393 3769 4698 6786 7538 10179 11307 20358 22614 30537 33921 48997 61074 67842 97994 101763 109301 146991 203526 218602 293982 305289 327903 440973 610578 655806 881946 983709 1322919 1420913 1967418 2645838 2841826 2951127 3968757 4262739 5902254 7937514 8525478 8853381 12788217 17706762 25576434 38364651 76729302 115093953 230187906