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221257006450652 = 223737331093185099
BaseRepresentation
bin110010010011101101101001…
…010001100000011111011100
31002000101222000012111102020202
4302103231221101200133130
5213000033322122410102
62102324022054203032
764414201611022154
oct6223555121403734
91060358005442222
10221257006450652
1164554629a8a607
122099510b953478
13965c5a5351403
143c8cc79455764
151a8a608645e02
hexc93b694607dc

221257006450652 has 48 divisors (see below), whose sum is σ = 389125277032800. Its totient is φ = 110079989929728.

The previous prime is 221257006450637. The next prime is 221257006450699. The reversal of 221257006450652 is 256054600752122.

221257006450652 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 2×2212570064506522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221257006450597 and 221257006450606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195251599 + ... + 1195436697.

It is an arithmetic number, because the mean of its divisors is an integer number (8106776604850).

Almost surely, 2221257006450652 is an apocalyptic number.

It is an amenable number.

221257006450652 is a deficient number, since it is larger than the sum of its proper divisors (167868270582148).

221257006450652 is a wasteful number, since it uses less digits than its factorization.

221257006450652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187302 (or 187300 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 221257006450652 in words is "two hundred twenty-one trillion, two hundred fifty-seven billion, six million, four hundred fifty thousand, six hundred fifty-two".

Divisors: 1 2 4 373 733 746 1093 1466 1492 2186 2932 4372 185099 273409 370198 407689 546818 740396 801169 815378 1093636 1602338 1630756 3204676 69041927 135677567 138083854 202313207 271355134 276167708 298836037 404626414 542710268 597672074 809252828 1195344148 50607732491 75462826211 101215464982 148295580731 150925652422 202430929964 296591161462 301851304844 593182322924 55314251612663 110628503225326 221257006450652