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235148940 = 2233513194143
BaseRepresentation
bin11100000010000…
…01011010001100
3121101110210201000
432001001122030
5440144231230
635200020300
75553506265
oct1601013214
9541423630
10235148940
1111080a974
1266901690
1339942ab0
142333196c
151599db60
hexe04168c

235148940 has 384 divisors, whose sum is σ = 869299200. Its totient is φ = 52254720.

The previous prime is 235148939. The next prime is 235148971. The reversal of 235148940 is 49841532.

235148940 is a `hidden beast` number, since 23 + 514 + 89 + 40 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 235148895 and 235148904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5468559 + ... + 5468601.

It is an arithmetic number, because the mean of its divisors is an integer number (2263800).

Almost surely, 2235148940 is an apocalyptic number.

235148940 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 235148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434649600).

235148940 is an abundant number, since it is smaller than the sum of its proper divisors (634150260).

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

235148940 is a wasteful number, since it uses less digits than its factorization.

235148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 235148940 is about 15334.5668344430. The cubic root of 235148940 is about 617.2309219015.

The spelling of 235148940 in words is "two hundred thirty-five million, one hundred forty-eight thousand, nine hundred forty".