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232400640 = 283560521
BaseRepresentation
bin11011101101000…
…10011100000000
3121012022011202010
431312202130000
5433443310030
635021052520
75521241613
oct1566423400
9535264663
10232400640
1110a20304a
12659b7140
13391bcb94
1422c1817a
15156096b0
hexdda2700

232400640 has 72 divisors (see below), whose sum is σ = 742241808. Its totient is φ = 61972480.

The previous prime is 232400639. The next prime is 232400677. The reversal of 232400640 is 46004232.

232400640 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26421 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (10308914).

Almost surely, 2232400640 is an apocalyptic number.

232400640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232400640 is an abundant number, since it is smaller than the sum of its proper divisors (509841168).

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

232400640 is an equidigital number, since it uses as much as digits as its factorization.

232400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60545 (or 60531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232400640 is about 15244.6921910546. The cubic root of 232400640 is about 614.8168666172.

Adding to 232400640 its reverse (46004232), we get a palindrome (278404872).

The spelling of 232400640 in words is "two hundred thirty-two million, four hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 60521 121042 181563 242084 302605 363126 484168 605210 726252 907815 968336 1210420 1452504 1815630 1936672 2420840 2905008 3631260 3873344 4841680 5810016 7262520 7746688 9683360 11620032 14525040 15493376 19366720 23240064 29050080 38733440 46480128 58100160 77466880 116200320 232400640