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22873968 = 2433134073
BaseRepresentation
bin101011101000…
…0011101110000
31121001010012000
41113100131300
521323431333
62134134000
7365265645
oct127203560
947033160
1022873968
1111a03607
1277b1300
13497b5c0
143075dcc
15201c713
hex15d0770

22873968 has 80 divisors (see below), whose sum is σ = 70724640. Its totient is φ = 7036416.

The previous prime is 22873957. The next prime is 22873987. The reversal of 22873968 is 86937822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3580 + ... + 7652.

It is an arithmetic number, because the mean of its divisors is an integer number (884058).

Almost surely, 222873968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35362320).

22873968 is an abundant number, since it is smaller than the sum of its proper divisors (47850672).

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

22873968 is a wasteful number, since it uses less digits than its factorization.

22873968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4091 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 22873968 is about 4782.6737292021. The cubic root of 22873968 is about 283.8662995611.

The spelling of 22873968 in words is "twenty-two million, eight hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4073 5616 8146 12219 16292 24438 32584 36657 48876 52949 65168 73314 97752 105898 109971 146628 158847 195504 211796 219942 293256 317694 423592 439884 476541 586512 635388 847184 879768 953082 1270776 1429623 1759536 1906164 2541552 2859246 3812328 5718492 7624656 11436984 22873968