Search a number
-
+
21962916 = 2232610081
BaseRepresentation
bin101001111001…
…0000010100100
31112022211110100
41103302002210
521110303131
62102424100
7354452553
oct123620244
945284410
1021962916
1111441078
127432030
13471ca11
142cb9d9a
151ddc7e6
hex14f20a4

21962916 has 18 divisors (see below), whose sum is σ = 55517462. Its totient is φ = 7320960.

The previous prime is 21962909. The next prime is 21962923. The reversal of 21962916 is 61926912.

21962916 is a `hidden beast` number, since 2 + 19 + 629 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (21962909) and next prime (21962923).

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 60516 = 4680^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 610081 = 21962916 / (2 + 1 + 9 + 6 + 2 + 9 + 1 + 6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305005 + ... + 305076.

Almost surely, 221962916 is an apocalyptic number.

It is an amenable number.

21962916 is an abundant number, since it is smaller than the sum of its proper divisors (33554546).

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

21962916 is a wasteful number, since it uses less digits than its factorization.

21962916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610091 (or 610086 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21962916 is about 4686.4609248344. The cubic root of 21962916 is about 280.0464038738.

The spelling of 21962916 in words is "twenty-one million, nine hundred sixty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 610081 1220162 1830243 2440324 3660486 5490729 7320972 10981458 21962916