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22113000 = 233553713
BaseRepresentation
bin101010001011…
…0101011101000
31112121110100000
41110112223220
521130104000
62105543000
7355646250
oct124265350
945543300
1022113000
1111533908
1274a4a60
134773120
142d18960
151e1c000
hex1516ae8

22113000 has 384 divisors, whose sum is σ = 95397120. Its totient is φ = 4665600.

The previous prime is 22112999. The next prime is 22113043. The reversal of 22113000 is 31122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700994 + ... + 1701006.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 222113000 is an apocalyptic number.

22113000 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 22113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

22113000 is an abundant number, since it is smaller than the sum of its proper divisors (73284120).

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

22113000 is a wasteful number, since it uses less digits than its factorization.

22113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 22113000 is about 4702.4461719407. The cubic root of 22113000 is about 280.6828571206.

Adding to 22113000 its reverse (31122), we get a palindrome (22144122).

The spelling of 22113000 in words is "twenty-two million, one hundred thirteen thousand".