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22260000 = 25354753
BaseRepresentation
bin101010011101…
…0100100100000
31112212220222110
41110322210200
521144310000
62113035320
7360130650
oct124724440
945786873
1022260000
11116242a4
127555b40
1347c4cc9
142d56360
151e4a850
hex153a920

22260000 has 240 divisors, whose sum is σ = 85022784. Its totient is φ = 4992000.

The previous prime is 22259981. The next prime is 22260031. The reversal of 22260000 is 6222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419974 + ... + 420026.

Almost surely, 222260000 is an apocalyptic number.

22260000 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 22260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42511392).

22260000 is an abundant number, since it is smaller than the sum of its proper divisors (62762784).

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

22260000 is an equidigital number, since it uses as much as digits as its factorization.

22260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22260000 is about 4718.0504448342. The cubic root of 22260000 is about 281.3034466329.

Adding to 22260000 its reverse (6222), we get a palindrome (22266222).

The spelling of 22260000 in words is "twenty-two million, two hundred sixty thousand".