Search a number
-
+
22733880 = 23351321959
BaseRepresentation
bin101011010111…
…0010000111000
31120210000000120
41112232100320
521304441010
62131133240
7364143351
oct126562070
946700016
1022733880
1111918334
127744220
13492c900
14303ad28
151ee0e70
hex15ae438

22733880 has 192 divisors, whose sum is σ = 79056000. Its totient is φ = 5211648.

The previous prime is 22733869. The next prime is 22733891. The reversal of 22733880 is 8833722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22733869) and next prime (22733891).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385291 + ... + 385349.

It is an arithmetic number, because the mean of its divisors is an integer number (411750).

Almost surely, 222733880 is an apocalyptic number.

22733880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22733880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528000).

22733880 is an abundant number, since it is smaller than the sum of its proper divisors (56322120).

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

22733880 is a wasteful number, since it uses less digits than its factorization.

22733880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 22733880 is about 4768.0058724796. The cubic root of 22733880 is about 283.2856144165.

The spelling of 22733880 in words is "twenty-two million, seven hundred thirty-three thousand, eight hundred eighty".