Search a number
-
+
22804152 = 2337149911
BaseRepresentation
bin101011011111…
…1011010111000
31120220120102020
41112333122320
521314213102
62132434440
7364555260
oct126773270
946816366
1022804152
1111966108
127778a20
1349558a7
1430587a0
152006bbc
hex15bf6b8

22804152 has 64 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 6464640.

The previous prime is 22804141. The next prime is 22804169. The reversal of 22804152 is 25140822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24577 + ... + 25487.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 222804152 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 22804152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

22804152 is an abundant number, since it is smaller than the sum of its proper divisors (42859848).

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

22804152 is a wasteful number, since it uses less digits than its factorization.

22804152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22804152 is about 4775.3693050904. The cubic root of 22804152 is about 283.5771993475.

Adding to 22804152 its reverse (25140822), we get a palindrome (47944974).

The spelling of 22804152 in words is "twenty-two million, eight hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 911 1043 1192 1788 1822 2086 2733 3129 3576 3644 4172 5466 6258 6377 7288 8344 10932 12516 12754 19131 21864 25032 25508 38262 51016 76524 135739 153048 271478 407217 542956 814434 950173 1085912 1628868 1900346 2850519 3257736 3800692 5701038 7601384 11402076 22804152