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21229056 = 293217271
BaseRepresentation
bin101000011111…
…0111000000000
31110221112210100
41100332320000
520413312211
62035002400
7345305202
oct120767000
943845710
1021229056
1110a8a782
127139400
134523994
142b68772
151ce5156
hex143ee00

21229056 has 120 divisors (see below), whose sum is σ = 65111904. Its totient is φ = 6635520.

The previous prime is 21229051. The next prime is 21229063. The reversal of 21229056 is 65092212.

It is a super-2 number, since 2×212290562 = 901345637302272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21229051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78201 + ... + 78471.

Almost surely, 221229056 is an apocalyptic number.

It is a pronic number, being equal to 4607×4608.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32555952).

21229056 is an abundant number, since it is smaller than the sum of its proper divisors (43882848).

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

21229056 is a wasteful number, since it uses less digits than its factorization.

21229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 21229056 is about 4607.4999728703. The cubic root of 21229056 is about 276.8918848058.

The spelling of 21229056 in words is "twenty-one million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 271 272 288 306 384 408 512 542 544 576 612 768 813 816 1084 1088 1152 1224 1536 1626 1632 2168 2176 2304 2439 2448 3252 3264 4336 4352 4607 4608 4878 4896 6504 6528 8672 8704 9214 9756 9792 13008 13056 13821 17344 18428 19512 19584 26016 26112 27642 34688 36856 39024 39168 41463 52032 55284 69376 73712 78048 78336 82926 104064 110568 138752 147424 156096 165852 208128 221136 294848 312192 331704 416256 442272 589696 624384 663408 884544 1179392 1248768 1326816 1769088 2358784 2653632 3538176 5307264 7076352 10614528 21229056