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231402431200 = 25521949148411
BaseRepresentation
bin1101011110000010101…
…0001110001011100000
3211010021211111110210211
43113200222032023200
512242403010244300
6254145501103504
722501240132363
oct3274052161340
9733254443724
10231402431200
118a156704586
1238a20257b94
1318a8a104505
14b2b28b20da
1560452734ba
hex35e0a8e2e0

231402431200 has 72 divisors (see below), whose sum is σ = 565204840200. Its totient is φ = 92512857600.

The previous prime is 231402431159. The next prime is 231402431207. The reversal of 231402431200 is 2134204132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231402431207) by changing a digit.

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, 1484995 + ... + 1633405.

It is an arithmetic number, because the mean of its divisors is an integer number (7850067225).

Almost surely, 2231402431200 is an apocalyptic number.

231402431200 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 231402431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282602420100).

231402431200 is an abundant number, since it is smaller than the sum of its proper divisors (333802409000).

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

231402431200 is a wasteful number, since it uses less digits than its factorization.

231402431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150380 (or 150367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 231402431200 its reverse (2134204132), we get a palindrome (233536635332).

The spelling of 231402431200 in words is "two hundred thirty-one billion, four hundred two million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1949 3898 7796 9745 15592 19490 31184 38980 48725 62368 77960 97450 148411 155920 194900 296822 311840 389800 593644 742055 779600 1187288 1484110 1559200 2374576 2968220 3710275 4749152 5936440 7420550 11872880 14841100 23745760 29682200 59364400 118728800 289253039 578506078 1157012156 1446265195 2314024312 2892530390 4628048624 5785060780 7231325975 9256097248 11570121560 14462651950 23140243120 28925303900 46280486240 57850607800 115701215600 231402431200