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231401400 = 233521133413
BaseRepresentation
bin11011100101011…
…10011110111000
3121010102102001020
431302232132320
5433214321100
634543422440
75506610436
oct1562563670
9533372036
10231401400
1110969032a
12655b4a20
1338c30109
1422a37d56
15154ad5a0
hexdcae7b8

231401400 has 96 divisors (see below), whose sum is σ = 723904560. Its totient is φ = 61143040.

The previous prime is 231401383. The next prime is 231401407. The reversal of 231401400 is 4104132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231401400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231401407) 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 23 ways as a sum of consecutive naturals, for example, 66094 + ... + 69506.

Almost surely, 2231401400 is an apocalyptic number.

231401400 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 231401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361952280).

231401400 is an abundant number, since it is smaller than the sum of its proper divisors (492503160).

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

231401400 is a wasteful number, since it uses less digits than its factorization.

231401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 231401400 is about 15211.8835125700. The cubic root of 231401400 is about 613.9344361587.

Adding to 231401400 its reverse (4104132), we get a palindrome (235505532).

The spelling of 231401400 in words is "two hundred thirty-one million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 904 1130 1356 1695 2260 2712 2825 3390 3413 4520 5650 6780 6826 8475 10239 11300 13560 13652 16950 17065 20478 22600 27304 33900 34130 40956 51195 67800 68260 81912 85325 102390 136520 170650 204780 255975 341300 385669 409560 511950 682600 771338 1023900 1157007 1542676 1928345 2047800 2314014 3085352 3856690 4628028 5785035 7713380 9256056 9641725 11570070 15426760 19283450 23140140 28925175 38566900 46280280 57850350 77133800 115700700 231401400