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230949432 = 23327503911
BaseRepresentation
bin11011100010000…
…00001000111000
3121002120110001200
431301000020320
5433110340212
634530014200
75503015650
oct1561001070
9532513050
10230949432
111094017aa
1265417360
1338b0248c
142295b360
151541e6dc
hexdc40238

230949432 has 96 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 65782080.

The previous prime is 230949421. The next prime is 230949457. The reversal of 230949432 is 234949032.

It is a super-2 number, since 2×2309494322 = 106675280282245248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 253057 + ... + 253967.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2230949432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230949432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

230949432 is an abundant number, since it is smaller than the sum of its proper divisors (486101448).

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

230949432 is a wasteful number, since it uses less digits than its factorization.

230949432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 230949432 is about 15197.0204974528. The cubic root of 230949432 is about 613.5344680072.

The spelling of 230949432 in words is "two hundred thirty million, nine hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 503 504 911 1006 1509 1822 2012 2733 3018 3521 3644 4024 4527 5466 6036 6377 7042 7288 8199 9054 10563 10932 12072 12754 14084 16398 18108 19131 21126 21864 25508 28168 31689 32796 36216 38262 42252 51016 57393 63378 65592 76524 84504 114786 126756 153048 229572 253512 458233 459144 916466 1374699 1832932 2749398 3207631 3665864 4124097 5498796 6415262 8248194 9622893 10997592 12830524 16496388 19245786 25661048 28868679 32992776 38491572 57737358 76983144 115474716 230949432