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231301221984 = 25327114732749
BaseRepresentation
bin1101011101101010100…
…0001000111001100000
3211010000210001111212100
43113122220020321200
512242201103100414
6254131443530400
722465600642650
oct3273250107140
9733023044770
10231301221984
118a1045675a8
12389b2389a00
1318a721594c1
14b2a3288360
15603b430609
hex35daa08e60

231301221984 has 72 divisors (see below), whose sum is σ = 751728978000. Its totient is φ = 66086062848.

The previous prime is 231301221967. The next prime is 231301222021. The reversal of 231301221984 is 489122103132.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57364359 + ... + 57368390.

It is an arithmetic number, because the mean of its divisors is an integer number (10440680250).

Almost surely, 2231301221984 is an apocalyptic number.

231301221984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231301221984 is an abundant number, since it is smaller than the sum of its proper divisors (520427756016).

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

231301221984 is a wasteful number, since it uses less digits than its factorization.

231301221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114732772 (or 114732761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 231301221984 in words is "two hundred thirty-one billion, three hundred one million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 114732749 229465498 344198247 458930996 688396494 803129243 917861992 1032594741 1376792988 1606258486 1835723984 2065189482 2409387729 2753585976 3212516972 3671447968 4130378964 4818775458 5507171952 6425033944 7228163187 8260757928 9637550916 11014343904 12850067888 14456326374 16521515856 19275101832 25700135776 28912652748 33043031712 38550203664 57825305496 77100407328 115650610992 231301221984