Search a number
-
+
22984968 = 2331277541
BaseRepresentation
bin101011110101…
…1100100001000
31121020202110010
41113223210020
521341004333
62140351520
7366240366
oct127534410
947222403
1022984968
1111a79a46
1278455a0
1349b9c96
1430a4636
152040563
hex15eb908

22984968 has 32 divisors (see below), whose sum is σ = 57922560. Its totient is φ = 7600320.

The previous prime is 22984963. The next prime is 22984993. The reversal of 22984968 is 86948922.

It is a super-2 number, since 2×229849682 = 1056617507922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22984963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 6818.

It is an arithmetic number, because the mean of its divisors is an integer number (1810080).

Almost surely, 222984968 is an apocalyptic number.

It is an amenable number.

22984968 is an abundant number, since it is smaller than the sum of its proper divisors (34937592).

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

22984968 is a wasteful number, since it uses less digits than its factorization.

22984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7673 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 22984968 is about 4794.2640728270. The cubic root of 22984968 is about 284.3247293983.

The spelling of 22984968 in words is "twenty-two million, nine hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 7541 15082 22623 30164 45246 60328 90492 180984 957707 1915414 2873121 3830828 5746242 7661656 11492484 22984968