Search a number
-
+
231905792 = 291931769
BaseRepresentation
bin11011101001010…
…01101000000000
3121011101000221102
431310221220000
5433331441132
635002313532
75514111116
oct1564515000
9534330842
10231905792
111099a5288
12657b88a8
1339078881
1422b29ab6
151555cc62
hexdd29a00

231905792 has 80 divisors (see below), whose sum is σ = 504134400. Its totient is φ = 106168320.

The previous prime is 231905783. The next prime is 231905801. The reversal of 231905792 is 297509132.

It is an interprime number because it is at equal distance from previous prime (231905783) and next prime (231905801).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301184 + ... + 301952.

It is an arithmetic number, because the mean of its divisors is an integer number (6301680).

Almost surely, 2231905792 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 231905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

231905792 is an abundant number, since it is smaller than the sum of its proper divisors (272228608).

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

231905792 is an equidigital number, since it uses as much as digits as its factorization.

231905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 231905792 is about 15228.4533686123. The cubic root of 231905792 is about 614.3801823758.

It can be divided in two parts, 23190 and 5792, that added together give a palindrome (28982).

The spelling of 231905792 in words is "two hundred thirty-one million, nine hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 769 992 1178 1216 1538 1984 2356 2432 3076 3968 4712 4864 6152 7936 9424 9728 12304 14611 15872 18848 23839 24608 29222 37696 47678 49216 58444 75392 95356 98432 116888 150784 190712 196864 233776 301568 381424 393728 452941 467552 762848 905882 935104 1525696 1811764 1870208 3051392 3623528 3740416 6102784 7247056 7480832 12205568 14494112 28988224 57976448 115952896 231905792