Search a number
-
+
235023680 = 2658572
BaseRepresentation
bin11100000001000…
…10110101000000
3121101020102212202
432000202311000
5440131224210
635153212332
75552445143
oct1600426500
9541212782
10235023680
11110734851
12668610a8
13398caa88
14232dc05a
15159769a5
hexe022d40

235023680 has 42 divisors (see below), whose sum is σ = 560303934. Its totient is φ = 93899776.

The previous prime is 235023661. The next prime is 235023707. The reversal of 235023680 is 86320532.

It can be written as a sum of positive squares in 3 ways, for example, as 128686336 + 106337344 = 11344^2 + 10312^2 .

It is a super-2 number, since 2×2350236802 = 110472260321484800, 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 5 ways as a sum of consecutive naturals, for example, 273812 + ... + 274668.

Almost surely, 2235023680 is an apocalyptic number.

235023680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235023680 is an abundant number, since it is smaller than the sum of its proper divisors (325280254).

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

235023680 is an frugal number, since it uses more digits than its factorization.

235023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 235023680 is about 15330.4820537386. The cubic root of 235023680 is about 617.1213061584.

The spelling of 235023680 in words is "two hundred thirty-five million, twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 857 1714 3428 4285 6856 8570 13712 17140 27424 34280 54848 68560 137120 274240 734449 1468898 2937796 3672245 5875592 7344490 11751184 14688980 23502368 29377960 47004736 58755920 117511840 235023680