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235090944 = 2103311773
BaseRepresentation
bin11100000001100…
…11010000000000
3121101100212011000
432000303100000
5440140402234
635154452000
75553145224
oct1600632000
9541325130
10235090944
11110780340
1266894000
133992258a
1423318784
151598b899
hexe033400

235090944 has 176 divisors, whose sum is σ = 760501440. Its totient is φ = 71147520.

The previous prime is 235090939. The next prime is 235090951. The reversal of 235090944 is 449090532.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×2350909442 = 110535503901622272, which contains 22 as substring.

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 = 235090899 and 235090908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303742 + ... + 304514.

Almost surely, 2235090944 is an apocalyptic number.

235090944 is a gapful number since it is divisible by the number (24) 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 235090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380250720).

235090944 is an abundant number, since it is smaller than the sum of its proper divisors (525410496).

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

235090944 is a wasteful number, since it uses less digits than its factorization.

235090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 235090944 is about 15332.6756960421. The cubic root of 235090944 is about 617.1801741103.

The spelling of 235090944 in words is "two hundred thirty-five million, ninety thousand, nine hundred forty-four".