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22288037 = 172953853
BaseRepresentation
bin101010100000…
…1011010100101
31112221100102212
41111001122211
521201204122
62113413205
7360305462
oct125013245
945840385
1022288037
1111643372
12756a205
1348049b5
142d62669
151e53ce2
hex15416a5

22288037 has 16 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 19848192.

The previous prime is 22288031. The next prime is 22288043. The reversal of 22288037 is 73088222.

It is an interprime number because it is at equal distance from previous prime (22288031) and next prime (22288043).

It can be written as a sum of positive squares in 8 ways, for example, as 196 + 22287841 = 14^2 + 4721^2 .

It is a cyclic number.

It is not a de Polignac number, because 22288037 - 214 = 22271653 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22287994 and 22288012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22288031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25703 + ... + 26555.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 222288037 is an apocalyptic number.

It is an amenable number.

22288037 is a deficient number, since it is larger than the sum of its proper divisors (2614603).

22288037 is a wasteful number, since it uses less digits than its factorization.

22288037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 22288037 is about 4721.0207582683. The cubic root of 22288037 is about 281.4214998794.

The spelling of 22288037 in words is "twenty-two million, two hundred eighty-eight thousand, thirty-seven".

Divisors: 1 17 29 53 493 853 901 1537 14501 24737 26129 45209 420529 768553 1311061 22288037