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22748040 = 2334571759
BaseRepresentation
bin101011011000…
…1101110001000
31120210201110000
41112301232020
521310414130
62131323000
7364232550
oct126615610
946721400
1022748040
1111927a37
127750460
1349361a3
143042160
151ee5260
hex15b1b88

22748040 has 320 divisors, whose sum is σ = 94089600. Its totient is φ = 4810752.

The previous prime is 22748029. The next prime is 22748087. The reversal of 22748040 is 4084722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22747995 and 22748013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385531 + ... + 385589.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 222748040 is an apocalyptic number.

22748040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22748040 is the 2754-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044800).

22748040 is an abundant number, since it is smaller than the sum of its proper divisors (71341560).

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

22748040 is a wasteful number, since it uses less digits than its factorization.

22748040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22748040 is about 4769.4905388312. The cubic root of 22748040 is about 283.3444178670.

The spelling of 22748040 in words is "twenty-two million, seven hundred forty-eight thousand, forty".