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232121230400 = 2652191759559
BaseRepresentation
bin1101100000101110000…
…0001110010001000000
3211012010221001020221102
43120023200032101000
512300341013333100
6254345055313532
722525115622023
oct3301340162100
9735127036842
10232121230400
118a495424004
1238ba0b1b8a8
1318b72cc6597
14b3401411ba
15608840acd5
hex360b80e440

232121230400 has 84 divisors (see below), whose sum is σ = 574154442240. Its totient is φ = 92362252800.

The previous prime is 232121230387. The next prime is 232121230403. The reversal of 232121230400 is 4032121232.

232121230400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (232121230403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74180 + ... + 685379.

Almost surely, 2232121230400 is an apocalyptic number.

232121230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232121230400 is an abundant number, since it is smaller than the sum of its proper divisors (342033211840).

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

232121230400 is a wasteful number, since it uses less digits than its factorization.

232121230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759772 (or 759757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232121230400 its reverse (4032121232), we get a palindrome (236153351632).

The spelling of 232121230400 in words is "two hundred thirty-two billion, one hundred twenty-one million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 191 200 320 382 400 764 800 955 1528 1600 1910 3056 3820 4775 6112 7640 9550 12224 15280 19100 30560 38200 61120 76400 152800 305600 759559 1519118 3038236 3797795 6076472 7595590 12152944 15191180 18988975 24305888 30382360 37977950 48611776 60764720 75955900 121529440 145075769 151911800 243058880 290151538 303823600 580303076 607647200 725378845 1160606152 1215294400 1450757690 2321212304 2901515380 3626894225 4642424608 5803030760 7253788450 9284849216 11606061520 14507576900 23212123040 29015153800 46424246080 58030307600 116060615200 232121230400