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21222880 = 255722707
BaseRepresentation
bin101000011110…
…1010111100000
31110221020022121
41100331113200
520413113010
62034514024
7345251200
oct120752740
943836277
1021222880
1110a86078
127135914
134520c23
142b66400
151ce33da
hex143d5e0

21222880 has 72 divisors (see below), whose sum is σ = 58346568. Its totient is φ = 7273728.

The previous prime is 21222847. The next prime is 21222913. The reversal of 21222880 is 8822212.

It is an interprime number because it is at equal distance from previous prime (21222847) and next prime (21222913).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487 + ... + 9193.

It is an arithmetic number, because the mean of its divisors is an integer number (810369).

Almost surely, 221222880 is an apocalyptic number.

21222880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29173284).

21222880 is an abundant number, since it is smaller than the sum of its proper divisors (37123688).

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

21222880 is a wasteful number, since it uses less digits than its factorization.

21222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 21222880 is about 4606.8297125029. The cubic root of 21222880 is about 276.8650308854.

The spelling of 21222880 in words is "twenty-one million, two hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2707 3920 5414 7840 10828 13535 18949 21656 27070 37898 43312 54140 75796 86624 94745 108280 132643 151592 189490 216560 265286 303184 378980 433120 530572 606368 663215 757960 1061144 1326430 1515920 2122288 2652860 3031840 4244576 5305720 10611440 21222880