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233094640 = 24510632741
BaseRepresentation
bin11011110010010…
…11110111110000
3121020121102201211
431321023313300
5434133012030
635044005504
75530162132
oct1571136760
9536542654
10233094640
1110a6374a9
1266090894
13393a3a2c
1422d59052
15156e512a
hexde4bdf0

233094640 has 40 divisors (see below), whose sum is σ = 542652768. Its totient is φ = 93116160.

The previous prime is 233094613. The next prime is 233094643. The reversal of 233094640 is 46490332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2330946402 = 108666222393459200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233094643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83670 + ... + 86410.

Almost surely, 2233094640 is an apocalyptic number.

233094640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233094640 is an abundant number, since it is smaller than the sum of its proper divisors (309558128).

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

233094640 is a wasteful number, since it uses less digits than its factorization.

233094640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 233094640 is about 15267.4372440171. The cubic root of 233094640 is about 615.4282517455.

The spelling of 233094640 in words is "two hundred thirty-three million, ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1063 2126 2741 4252 5315 5482 8504 10630 10964 13705 17008 21260 21928 27410 42520 43856 54820 85040 109640 219280 2913683 5827366 11654732 14568415 23309464 29136830 46618928 58273660 116547320 233094640