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21122208 = 253429281
BaseRepresentation
bin101000010010…
…0110010100000
31110202010020000
41100210302200
520401402313
62032420000
7344351532
oct120446240
943663200
1021122208
1110a17478
1270a7600
1344b7163
142b3b852
151cc3673
hex1424ca0

21122208 has 120 divisors (see below), whose sum is σ = 64490580. Its totient is φ = 6773760.

The previous prime is 21122203. The next prime is 21122221. The reversal of 21122208 is 80222112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 219024 = 4572^2 + 468^2 .

It is a super-2 number, since 2×211222082 = 892295341590528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21122201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75028 + ... + 75308.

Almost surely, 221122208 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 21122208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32245290).

21122208 is an abundant number, since it is smaller than the sum of its proper divisors (43368372).

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

21122208 is a wasteful number, since it uses less digits than its factorization.

21122208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21122208 is about 4595.8903381173. The cubic root of 21122208 is about 276.4265615760.

The spelling of 21122208 in words is "twenty-one million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 281 288 324 348 432 464 522 562 648 696 783 843 864 928 1044 1124 1296 1392 1566 1686 2088 2248 2349 2529 2592 2784 3132 3372 4176 4496 4698 5058 6264 6744 7587 8149 8352 8992 9396 10116 12528 13488 15174 16298 18792 20232 22761 24447 25056 26976 30348 32596 37584 40464 45522 48894 60696 65192 73341 75168 80928 91044 97788 121392 130384 146682 182088 195576 220023 242784 260768 293364 364176 391152 440046 586728 660069 728352 782304 880092 1173456 1320138 1760184 2346912 2640276 3520368 5280552 7040736 10561104 21122208