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231990852240 = 2432571729731279
BaseRepresentation
bin1101100000001110111…
…0110111101010010000
3211011210211201100201200
43120003232313222100
512300104124232430
6254324121031200
722521643464540
oct3300356675220
9734724640650
10231990852240
118a428873a64
1238b65325500
1318b51ca7944
14b32aac3320
15607bc55460
hex3603bb7a90

231990852240 has 960 divisors, whose sum is σ = 989422387200. Its totient is φ = 47489089536.

The previous prime is 231990852227. The next prime is 231990852259. The reversal of 231990852240 is 42258099132.

231990852240 is a `hidden beast` number, since 2 + 31 + 9 + 90 + 8 + 522 + 4 + 0 = 666.

231990852240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 181383921 + ... + 181385199.

It is an arithmetic number, because the mean of its divisors is an integer number (1030648320).

Almost surely, 2231990852240 is an apocalyptic number.

231990852240 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 231990852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494711193600).

231990852240 is an abundant number, since it is smaller than the sum of its proper divisors (757431534960).

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

231990852240 is a wasteful number, since it uses less digits than its factorization.

231990852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 231990852240 in words is "two hundred thirty-one billion, nine hundred ninety million, eight hundred fifty-two thousand, two hundred forty".