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21221816 = 2371147733
BaseRepresentation
bin101000011110…
…1000110111000
31110221011212012
41100331012320
520413044231
62034505052
7345245120
oct120750670
943834765
1021221816
1110a852a0
127135188
1345205b5
142b65c80
151ce2e2b
hex143d1b8

21221816 has 64 divisors (see below), whose sum is σ = 50734080. Its totient is φ = 8081280.

The previous prime is 21221791. The next prime is 21221821. The reversal of 21221816 is 61812212.

It is a junction number, because it is equal to n+sod(n) for n = 21221791 and 21221800.

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, 28586 + ... + 29318.

It is an arithmetic number, because the mean of its divisors is an integer number (792720).

Almost surely, 221221816 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 21221816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367040).

21221816 is an abundant number, since it is smaller than the sum of its proper divisors (29512264).

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

21221816 is a wasteful number, since it uses less digits than its factorization.

21221816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 21221816 is about 4606.7142303381. The cubic root of 21221816 is about 276.8604039715.

The spelling of 21221816 in words is "twenty-one million, two hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 308 329 376 517 616 658 733 1034 1316 1466 2068 2632 2932 3619 4136 5131 5864 7238 8063 10262 14476 16126 20524 28952 32252 34451 41048 56441 64504 68902 112882 137804 225764 241157 275608 378961 451528 482314 757922 964628 1515844 1929256 2652727 3031688 5305454 10610908 21221816