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231133400 = 23524171397
BaseRepresentation
bin11011100011011…
…01000011011000
3121002220210102022
431301231003120
5433132232100
634533554012
75504413211
oct1561550330
9532823368
10231133400
11109517a43
12654a5908
1338b68134
14229a8408
1515458e85
hexdc6d0d8

231133400 has 96 divisors (see below), whose sum is σ = 559651680. Its totient is φ = 88704000.

The previous prime is 231133391. The next prime is 231133429. The reversal of 231133400 is 4331132.

It is a happy number.

231133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582002 + ... + 582398.

It is an arithmetic number, because the mean of its divisors is an integer number (5829705).

Almost surely, 2231133400 is an apocalyptic number.

231133400 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 231133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279825840).

231133400 is an abundant number, since it is smaller than the sum of its proper divisors (328518280).

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

231133400 is a wasteful number, since it uses less digits than its factorization.

231133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 231133400 is about 15203.0720579757. The cubic root of 231133400 is about 613.6973330284.

Adding to 231133400 its reverse (4331132), we get a palindrome (235464532).

The spelling of 231133400 in words is "two hundred thirty-one million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 71 82 100 142 164 200 205 284 328 355 397 410 568 710 794 820 1025 1420 1588 1640 1775 1985 2050 2840 2911 3176 3550 3970 4100 5822 7100 7940 8200 9925 11644 14200 14555 15880 16277 19850 23288 28187 29110 32554 39700 56374 58220 65108 72775 79400 81385 112748 116440 130216 140935 145550 162770 225496 281870 291100 325540 406925 563740 582200 651080 704675 813850 1127480 1155667 1409350 1627700 2311334 2818700 3255400 4622668 5637400 5778335 9245336 11556670 23113340 28891675 46226680 57783350 115566700 231133400