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223931664 = 243211141371
BaseRepresentation
bin11010101100011…
…10110100010000
3120121100220111100
431112032310100
5424311303124
634115344400
75356246665
oct1526166420
9517326440
10223931664
111054491a0
1262bb2100
1337516158
1421a51a6c
15149d51c9
hexd58ed10

223931664 has 60 divisors (see below), whose sum is σ = 683674992. Its totient is φ = 67857600.

The previous prime is 223931639. The next prime is 223931677. The reversal of 223931664 is 466139322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69102 + ... + 72269.

Almost surely, 2223931664 is an apocalyptic number.

223931664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223931664 is an abundant number, since it is smaller than the sum of its proper divisors (459743328).

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

223931664 is a wasteful number, since it uses less digits than its factorization.

223931664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141396 (or 141387 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 223931664 is about 14964.3464274254. The cubic root of 223931664 is about 607.2560296581.

The spelling of 223931664 in words is "two hundred twenty-three million, nine hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 141371 282742 424113 565484 848226 1130968 1272339 1555081 1696452 2261936 2544678 3110162 3392904 4665243 5089356 6220324 6785808 9330486 10178712 12440648 13995729 18660972 20357424 24881296 27991458 37321944 55982916 74643888 111965832 223931664