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221285628 = 223319107839
BaseRepresentation
bin11010011000010…
…00110011111100
3120102101110211000
431030020303330
5423122120003
633542530300
75324616414
oct1514106374
9512343730
10221285628
11103a01193
1262136990
1336aca955
1421563644
15146611a3
hexd308cfc

221285628 has 48 divisors (see below), whose sum is σ = 603904000. Its totient is φ = 69879024.

The previous prime is 221285627. The next prime is 221285633. The reversal of 221285628 is 826582122.

221285628 is a `hidden beast` number, since 2 + 2 + 1 + 28 + 5 + 628 = 666.

221285628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221285592 and 221285601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221285621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51868 + ... + 55971.

Almost surely, 2221285628 is an apocalyptic number.

It is an amenable number.

221285628 is an abundant number, since it is smaller than the sum of its proper divisors (382618372).

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

221285628 is a wasteful number, since it uses less digits than its factorization.

221285628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107871 (or 107863 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 221285628 is about 14875.6723545526. The cubic root of 221285628 is about 604.8547136505.

The spelling of 221285628 in words is "two hundred twenty-one million, two hundred eighty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 107839 215678 323517 431356 647034 970551 1294068 1941102 2048941 2911653 3882204 4097882 5823306 6146823 8195764 11646612 12293646 18440469 24587292 36880938 55321407 73761876 110642814 221285628