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235244928 = 2731921697
BaseRepresentation
bin11100000010110…
…00110110000000
3121101122200101010
432001120312000
5440210314203
635202040520
75554356162
oct1601306600
9541580333
10235244928
11110875aa6
1266949140
13399776a9
1423358932
15159bc303
hexe058d80

235244928 has 96 divisors (see below), whose sum is σ = 659876760. Its totient is φ = 74244096.

The previous prime is 235244831. The next prime is 235244951. The reversal of 235244928 is 829442532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2352449282 = 110680352299450368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137776 + ... + 139472.

Almost surely, 2235244928 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 235244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329938380).

235244928 is an abundant number, since it is smaller than the sum of its proper divisors (424631832).

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

235244928 is a wasteful number, since it uses less digits than its factorization.

235244928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1721 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 235244928 is about 15337.6963068122. The cubic root of 235244928 is about 617.3148952080.

The spelling of 235244928 in words is "two hundred thirty-five million, two hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1697 1824 2166 2432 2888 3394 3648 4332 5091 5776 6788 7296 8664 10182 11552 13576 17328 20364 23104 27152 32243 34656 40728 46208 54304 64486 69312 81456 96729 108608 128972 138624 162912 193458 217216 257944 325824 386916 515888 612617 651648 773832 1031776 1225234 1547664 1837851 2063552 2450468 3095328 3675702 4127104 4900936 6190656 7351404 9801872 12381312 14702808 19603744 29405616 39207488 58811232 78414976 117622464 235244928