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22083216 = 243491937
BaseRepresentation
bin101010000111…
…1011010010000
31112112221110220
41110033122100
521123130331
62105153040
7355463361
oct124173220
945487426
1022083216
11115134a1
12748b780
1347626bc
142d0bb68
151e13296
hex150f690

22083216 has 40 divisors (see below), whose sum is σ = 57225504. Its totient is φ = 7338240.

The previous prime is 22083211. The next prime is 22083233. The reversal of 22083216 is 61238022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22083211) 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 7 ways as a sum of consecutive naturals, for example, 23100 + ... + 24036.

Almost surely, 222083216 is an apocalyptic number.

It is an amenable number.

22083216 is an abundant number, since it is smaller than the sum of its proper divisors (35142288).

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

22083216 is a wasteful number, since it uses less digits than its factorization.

22083216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22083216 is about 4699.2782424538. The cubic root of 22083216 is about 280.5567832526.

It can be divided in two parts, 220 and 83216, that added together give a triangular number (83436 = T408).

The spelling of 22083216 in words is "twenty-two million, eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 491 937 982 1473 1874 1964 2811 2946 3748 3928 5622 5892 7496 7856 11244 11784 14992 22488 23568 44976 460067 920134 1380201 1840268 2760402 3680536 5520804 7361072 11041608 22083216