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22985970 = 2357234759
BaseRepresentation
bin101011110101…
…1110011110010
31121020210211020
41113223303302
521341022340
62140400310
7366243330
oct127536362
947223736
1022985970
1111a7a777
127846096
1349ba587
1430a4b50
1520409d0
hex15ebcf2

22985970 has 64 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5024448.

The previous prime is 22985957. The next prime is 22986001. The reversal of 22985970 is 7958922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2451 + ... + 7209.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 222985970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22985970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

22985970 is an abundant number, since it is smaller than the sum of its proper divisors (42816270).

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

22985970 is a wasteful number, since it uses less digits than its factorization.

22985970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 22985970 is about 4794.3685715639. The cubic root of 22985970 is about 284.3288609281.

The spelling of 22985970 in words is "twenty-two million, nine hundred eighty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4759 4830 9518 14277 23795 28554 33313 47590 66626 71385 99939 109457 142770 166565 199878 218914 328371 333130 499695 547285 656742 766199 999390 1094570 1532398 1641855 2298597 3283710 3830995 4597194 7661990 11492985 22985970