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231244333158400 = 21252475212
BaseRepresentation
bin110100100101000011000100…
…010101011001000000000000
31010022202202001011200201101121
4310211003010111121000000
5220302201343242032100
62135452102522442024
766464565101235532
oct6445030425310000
91108682034621347
10231244333158400
11677551975a4581
1221b2884b363314
139c053299c7323
1441163dd381852
151bb02e0b6e51a
hexd250c4559000

231244333158400 has 117 divisors (see below), whose sum is σ = 573428007457923. Its totient is φ = 92495786803200.

The previous prime is 231244333158323. The next prime is 231244333158451. The reversal of 231244333158400 is 4851333442132.

The square root of 231244333158400 is 15206720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21748120326144 + 209496212832256 = 4663488^2 + 14473984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4866126640 + ... + 4866174160.

Almost surely, 2231244333158400 is an apocalyptic number.

231244333158400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231244333158400 is the 15206720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231244333158400

231244333158400 is an abundant number, since it is smaller than the sum of its proper divisors (342183674299523).

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

231244333158400 is an frugal number, since it uses more digits than its factorization.

231244333158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95076 (or 47528 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 231244333158400 in words is "two hundred thirty-one trillion, two hundred forty-four billion, three hundred thirty-three million, one hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 10240 12800 20480 25600 47521 51200 95042 102400 190084 237605 380168 475210 760336 950420 1188025 1520672 1900840 2376050 3041344 3801680 4752100 6082688 7603360 9504200 12165376 15206720 19008400 24330752 30413440 38016800 48661504 60826880 76033600 97323008 121653760 152067200 194646016 243307520 304134400 486615040 608268800 973230080 1216537600 2258245441 2433075200 4516490882 4866150400 9032981764 11291227205 18065963528 22582454410 36131927056 45164908820 56456136025 72263854112 90329817640 112912272050 144527708224 180659635280 225824544100 289055416448 361319270560 451649088200 578110832896 722638541120 903298176400 1156221665792 1445277082240 1806596352800 2312443331584 2890554164480 3613192705600 4624886663168 5781108328960 7226385411200 9249773326336 11562216657920 14452770822400 23124433315840 28905541644800 46248866631680 57811083289600 115622166579200 231244333158400