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231381600 = 25352229421
BaseRepresentation
bin11011100101010…
…01101001100000
3121010101101212220
431302221221200
5433213202400
634543151040
75506465632
oct1562515140
9533341786
10231381600
1110967746a
12655a5480
1338c240b8
1422a30a52
15154a77a0
hexdca9a60

231381600 has 144 divisors (see below), whose sum is σ = 758232720. Its totient is φ = 61286400.

The previous prime is 231381583. The next prime is 231381617. The reversal of 231381600 is 6183132.

It is an interprime number because it is at equal distance from previous prime (231381583) and next prime (231381617).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 549390 + ... + 549810.

It is an arithmetic number, because the mean of its divisors is an integer number (5265505).

Almost surely, 2231381600 is an apocalyptic number.

231381600 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 231381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379116360).

231381600 is an abundant number, since it is smaller than the sum of its proper divisors (526851120).

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

231381600 is a wasteful number, since it uses less digits than its factorization.

231381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 231381600 is about 15211.2326916657. The cubic root of 231381600 is about 613.9169251028.

The spelling of 231381600 in words is "two hundred thirty-one million, three hundred eighty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 229 240 300 400 421 458 480 600 687 800 842 916 1145 1200 1263 1374 1684 1832 2105 2290 2400 2526 2748 3368 3435 3664 4210 4580 5052 5496 5725 6315 6736 6870 7328 8420 9160 10104 10525 10992 11450 12630 13472 13740 16840 17175 18320 20208 21050 21984 22900 25260 27480 31575 33680 34350 36640 40416 42100 45800 50520 54960 63150 67360 68700 84200 91600 96409 101040 109920 126300 137400 168400 183200 192818 202080 252600 274800 289227 336800 385636 482045 505200 549600 578454 771272 964090 1010400 1156908 1446135 1542544 1928180 2313816 2410225 2892270 3085088 3856360 4627632 4820450 5784540 7230675 7712720 9255264 9640900 11569080 14461350 15425440 19281800 23138160 28922700 38563600 46276320 57845400 77127200 115690800 231381600