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231996400 = 245223151167
BaseRepresentation
bin11011101001111…
…11101111110000
3121011112122020021
431310333233300
5433342341100
635004253224
75514636226
oct1564775760
9534478207
10231996400
11109a57369
1265841214
13390aab9c
1422b50b16
1515579a1a
hexdd3fbf0

231996400 has 120 divisors (see below), whose sum is σ = 588962304. Its totient is φ = 87648000.

The previous prime is 231996379. The next prime is 231996407. The reversal of 231996400 is 4699132.

It is a super-2 number, since 2×2319964002 = 107644659225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231996407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389117 + ... + 1389283.

Almost surely, 2231996400 is an apocalyptic number.

231996400 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 231996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

231996400 is an abundant number, since it is smaller than the sum of its proper divisors (356965904).

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

231996400 is a wasteful number, since it uses less digits than its factorization.

231996400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 231996400 is about 15231.4280354798. The cubic root of 231996400 is about 614.4601868619.

The spelling of 231996400 in words is "two hundred thirty-one million, nine hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 151 167 184 200 230 302 334 368 400 460 575 604 668 755 835 920 1150 1208 1336 1510 1670 1840 2300 2416 2672 3020 3340 3473 3775 3841 4175 4600 6040 6680 6946 7550 7682 8350 9200 12080 13360 13892 15100 15364 16700 17365 19205 25217 27784 30200 30728 33400 34730 38410 50434 55568 60400 61456 66800 69460 76820 86825 96025 100868 126085 138920 153640 173650 192050 201736 252170 277840 307280 347300 384100 403472 504340 579991 630425 694600 768200 1008680 1159982 1260850 1389200 1536400 2017360 2319964 2521700 2899955 4639928 5043400 5799910 9279856 10086800 11599820 14499775 23199640 28999550 46399280 57999100 115998200 231996400