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21966696 = 2332305093
BaseRepresentation
bin101001111001…
…0111101101000
31112100000122100
41103302331220
521110413241
62102453400
7354466563
oct123627550
945300570
1021966696
11114439a4
127434260
13472165b
142cbb4da
151ddd9b6
hex14f2f68

21966696 has 24 divisors (see below), whose sum is σ = 59493330. Its totient is φ = 7322208.

The previous prime is 21966691. The next prime is 21966727. The reversal of 21966696 is 69666912.

It can be written as a sum of positive squares in only one way, i.e., 21958596 + 8100 = 4686^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21966691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152475 + ... + 152618.

Almost surely, 221966696 is an apocalyptic number.

It is an amenable number.

21966696 is an abundant number, since it is smaller than the sum of its proper divisors (37526634).

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

21966696 is a wasteful number, since it uses less digits than its factorization.

21966696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305105 (or 305098 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 21966696 is about 4686.8641968805. The cubic root of 21966696 is about 280.0624690551.

The spelling of 21966696 in words is "twenty-one million, nine hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 305093 610186 915279 1220372 1830558 2440744 2745837 3661116 5491674 7322232 10983348 21966696