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22072281 = 37111947107
BaseRepresentation
bin101010000110…
…0101111011001
31112112101110220
41110030233121
521122303111
62105030253
7355416450
oct124145731
945471426
1022072281
1111506260
127485389
13475a72a
142d07b97
151e0ee06
hex150cbd9

22072281 has 64 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 10532160.

The previous prime is 22072247. The next prime is 22072283. The reversal of 22072281 is 18227022.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-22072281 is a prime.

It is a super-2 number, since 2×220722812 = 974371177085922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22072283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206230 + ... + 206336.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 222072281 is an apocalyptic number.

22072281 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22072281 is a deficient number, since it is larger than the sum of its proper divisors (17740839).

22072281 is a wasteful number, since it uses less digits than its factorization.

22072281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 22072281 is about 4698.1146218457. The cubic root of 22072281 is about 280.5104676112.

The spelling of 22072281 in words is "twenty-two million, seventy-two thousand, two hundred eighty-one".

Divisors: 1 3 7 11 19 21 33 47 57 77 107 133 141 209 231 321 329 399 517 627 749 893 987 1177 1463 1551 2033 2247 2679 3531 3619 4389 5029 6099 6251 8239 9823 10857 14231 15087 18753 22363 24717 29469 35203 42693 55319 67089 68761 95551 105609 156541 165957 206283 286653 387233 469623 668857 1051061 1161699 2006571 3153183 7357427 22072281