Search a number
-
+
232290952740 = 2234571123143127
BaseRepresentation
bin1101100001010110011…
…1101010011000100100
3211012120202102001020000
43120111213222120210
512301212440441430
6254414001141300
722532246343240
oct3302547523044
9735522361200
10232290952740
118a572206a00
123902992a830
1318b9c20c3c2
14b3588c1420
156098283e60
hex36159ea624

232290952740 has 1440 divisors, whose sum is σ = 974515863552. Its totient is φ = 45265651200.

The previous prime is 232290952739. The next prime is 232290952769. The reversal of 232290952740 is 47259092232.

232290952740 is a `hidden beast` number, since 2 + 3 + 2 + 290 + 95 + 274 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1829062557 + ... + 1829062683.

Almost surely, 2232290952740 is an apocalyptic number.

232290952740 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 232290952740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487257931776).

232290952740 is an abundant number, since it is smaller than the sum of its proper divisors (742224910812).

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

232290952740 is a wasteful number, since it uses less digits than its factorization.

232290952740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 232290 and 952740, that added together give a triangular number (1185030 = T1539).

The spelling of 232290952740 in words is "two hundred thirty-two billion, two hundred ninety million, nine hundred fifty-two thousand, seven hundred forty".