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231301152 = 25326711987
BaseRepresentation
bin11011100100101…
…10000000100000
3121010020022112100
431302112000200
5433203114102
634541330400
75506012245
oct1562260040
9533208470
10231301152
11109621a85
1265566a00
1338bc65b4
1422a0d5cc
151548da1c
hexdc96020

231301152 has 72 divisors (see below), whose sum is σ = 667635696. Its totient is φ = 75943296.

The previous prime is 231301139. The next prime is 231301153. The reversal of 231301152 is 251103132.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231301153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13303 + ... + 25289.

It is an arithmetic number, because the mean of its divisors is an integer number (9272718).

Almost surely, 2231301152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333817848).

231301152 is an abundant number, since it is smaller than the sum of its proper divisors (436334544).

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

231301152 is a wasteful number, since it uses less digits than its factorization.

231301152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12070 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 231301152 is about 15208.5881001492. The cubic root of 231301152 is about 613.8457668750.

Adding to 231301152 its reverse (251103132), we get a palindrome (482404284).

The spelling of 231301152 in words is "two hundred thirty-one million, three hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 11987 19296 23974 35961 47948 71922 95896 107883 143844 191792 215766 287688 383584 431532 575376 803129 863064 1150752 1606258 1726128 2409387 3212516 3452256 4818774 6425032 7228161 9637548 12850064 14456322 19275096 25700128 28912644 38550192 57825288 77100384 115650576 231301152