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221604012 = 22347199491
BaseRepresentation
bin11010011010101…
…10100010101100
3120102222122120000
431031112202230
5423212312022
633553424300
75330413560
oct1515264254
9512878500
10221604012
111040a9413
126226b090
1336bac846
14216076a0
15146c56ac
hexd3568ac

221604012 has 120 divisors (see below), whose sum is σ = 666758400. Its totient is φ = 62868960.

The previous prime is 221604007. The next prime is 221604029. The reversal of 221604012 is 210406122.

221604012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2216040122 = 98216676268992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451087 + ... + 451577.

It is an arithmetic number, because the mean of its divisors is an integer number (5556320).

Almost surely, 2221604012 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 221604012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333379200).

221604012 is an abundant number, since it is smaller than the sum of its proper divisors (445154388).

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

221604012 is a wasteful number, since it uses less digits than its factorization.

221604012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221604012 is about 14886.3700074934. The cubic root of 221604012 is about 605.1446613525.

The spelling of 221604012 in words is "two hundred twenty-one million, six hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 199 252 324 378 398 491 567 597 756 796 982 1134 1194 1393 1473 1791 1964 2268 2388 2786 2946 3437 3582 4179 4419 5373 5572 5892 6874 7164 8358 8838 10311 10746 12537 13257 13748 16119 16716 17676 20622 21492 25074 26514 30933 32238 37611 39771 41244 50148 53028 61866 64476 75222 79542 92799 97709 112833 123732 150444 159084 185598 195418 225666 278397 293127 371196 390836 451332 556794 586254 683963 879381 1113588 1172508 1367926 1758762 2051889 2638143 2735852 3517524 4103778 5276286 6155667 7914429 8207556 10552572 12311334 15828858 18467001 24622668 31657716 36934002 55401003 73868004 110802006 221604012