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231400413200 = 245211101520703
BaseRepresentation
bin1101011110000010001…
…0100001100000010000
3211010021200200221122002
43113200202201200100
512242402001210300
6254145345533132
722501214026115
oct3274042414020
9733250627562
10231400413200
118a155556410
1238a1b6441a8
1318a89878b28
14b2b250890c
156044ec55d5
hex35e08a1810

231400413200 has 120 divisors (see below), whose sum is σ = 612485369856. Its totient is φ = 83312320000.

The previous prime is 231400413193. The next prime is 231400413263. The reversal of 231400413200 is 2314004132.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184049 + ... + 704751.

Almost surely, 2231400413200 is an apocalyptic number.

231400413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231400413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306242684928).

231400413200 is an abundant number, since it is smaller than the sum of its proper divisors (381084956656).

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

231400413200 is a wasteful number, since it uses less digits than its factorization.

231400413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520833 (or 520822 counting only the distinct ones).

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

Adding to 231400413200 its reverse (2314004132), we get a palindrome (233714417332).

231400413200 divided by its reverse (2314004132) gives a square (100 = 102).

The spelling of 231400413200 in words is "two hundred thirty-one billion, four hundred million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 520703 1041406 2082812 2603515 4165624 5207030 5727733 8331248 10414060 11455466 13017575 20828120 22910932 26035150 28638665 41656240 45821864 52070300 52591003 57277330 91643728 104140600 105182006 114554660 143193325 208281200 210364012 229109320 262955015 286386650 420728024 458218640 525910030 572773300 578501033 841456048 1051820060 1145546600 1157002066 1314775075 2103640120 2291093200 2314004132 2629550150 2892505165 4207280240 4628008264 5259100300 5785010330 9256016528 10518200600 11570020660 14462525825 21036401200 23140041320 28925051650 46280082640 57850103300 115700206600 231400413200