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22121136 = 24321491031
BaseRepresentation
bin101010001100…
…0101010110000
31112121212111100
41110120222300
521130334021
62110044400
7356012052
oct124305260
945555440
1022121136
1111539a34
1274a9700
134776a3b
142d1b8d2
151e1e626
hex1518ab0

22121136 has 60 divisors (see below), whose sum is σ = 62384400. Its totient is φ = 7317120.

The previous prime is 22121089. The next prime is 22121137. The reversal of 22121136 is 63112122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (22121137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20941 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (1039740).

Almost surely, 222121136 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 22121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31192200).

22121136 is an abundant number, since it is smaller than the sum of its proper divisors (40263264).

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

22121136 is a wasteful number, since it uses less digits than its factorization.

22121136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1185 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 22121136 is about 4703.3111740560. The cubic root of 22121136 is about 280.7172766281.

Adding to 22121136 its reverse (63112122), we get a palindrome (85233258).

The spelling of 22121136 in words is "twenty-two million, one hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1031 1192 1341 1788 2062 2384 2682 3093 3576 4124 5364 6186 7152 8248 9279 10728 12372 16496 18558 21456 24744 37116 49488 74232 148464 153619 307238 460857 614476 921714 1228952 1382571 1843428 2457904 2765142 3686856 5530284 7373712 11060568 22121136