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22742720 = 2657111371
BaseRepresentation
bin101011011000…
…0011011000000
31120210110010222
41112300123000
521310231340
62131242212
7364211210
oct126603300
946713128
1022742720
1111923a40
127749368
134933940
143040240
151ee38b5
hex15b06c0

22742720 has 224 divisors, whose sum is σ = 73737216. Its totient is φ = 6451200.

The previous prime is 22742711. The next prime is 22742723. The reversal of 22742720 is 2724722.

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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22742720.

It is not an unprimeable number, because it can be changed into a prime (22742723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320285 + ... + 320355.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 222742720 is an apocalyptic number.

22742720 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 22742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868608).

22742720 is an abundant number, since it is smaller than the sum of its proper divisors (50994496).

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

22742720 is a wasteful number, since it uses less digits than its factorization.

22742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 22742720 is about 4768.9327946617. The cubic root of 22742720 is about 283.3223279078.

It can be divided in two parts, 2274 and 2720, that added together give a palindrome (4994).

The spelling of 22742720 in words is "twenty-two million, seven hundred forty-two thousand, seven hundred twenty".