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22989120 = 2635711311
BaseRepresentation
bin101011110110…
…0100101000000
31121020222010220
41113230211000
521341122440
62140423040
7366255450
oct127544500
947228126
1022989120
1111a82080
127847a80
1349bbb3b
1430a5d60
1520418d0
hex15ec940

22989120 has 224 divisors, whose sum is σ = 91293696. Its totient is φ = 4761600.

The previous prime is 22989119. The next prime is 22989137. The reversal of 22989120 is 2198922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73765 + ... + 74075.

Almost surely, 222989120 is an apocalyptic number.

22989120 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 22989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646848).

22989120 is an abundant number, since it is smaller than the sum of its proper divisors (68304576).

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

22989120 is a wasteful number, since it uses less digits than its factorization.

22989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 22989120 is about 4794.6970707230. The cubic root of 22989120 is about 284.3418484882.

The spelling of 22989120 in words is "twenty-two million, nine hundred eighty-nine thousand, one hundred twenty".