Search a number
-
+
22924368 = 2432397401
BaseRepresentation
bin101011101110…
…0110001010000
31121010200022200
41113130301100
521332034433
62135203200
7365565615
oct127346120
947120280
1022924368
1111a38465
127816500
13499851c
14308a50c
15202c613
hex15dcc50

22924368 has 60 divisors (see below), whose sum is σ = 64478388. Its totient is φ = 7603200.

The previous prime is 22924357. The next prime is 22924373. The reversal of 22924368 is 86342922.

22924368 is a `hidden beast` number, since 2 + 292 + 4 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 2782224 = 4488^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56968 + ... + 57368.

It is a vampire number, since it can be written as 23829624 (with its own digits).

Almost surely, 222924368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22924368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32239194).

22924368 is an abundant number, since it is smaller than the sum of its proper divisors (41554020).

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

22924368 is a wasteful number, since it uses less digits than its factorization.

22924368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 803 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22924368 is about 4787.9398492462. The cubic root of 22924368 is about 284.0746348841.

The spelling of 22924368 in words is "twenty-two million, nine hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 401 794 802 1191 1203 1588 1604 2382 2406 3176 3208 3573 3609 4764 4812 6352 6416 7146 7218 9528 9624 14292 14436 19056 19248 28584 28872 57168 57744 159197 318394 477591 636788 955182 1273576 1432773 1910364 2547152 2865546 3820728 5731092 7641456 11462184 22924368