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22146864 = 243461393
BaseRepresentation
bin101010001111…
…0111100110000
31112200011210020
41110132330300
521132144424
62110403440
7356150055
oct124367460
945604706
1022146864
11115572a3
127500580
13478566c
142d2702c
151e27079
hex151ef30

22146864 has 20 divisors (see below), whose sum is σ = 57212856. Its totient is φ = 7382272.

The previous prime is 22146863. The next prime is 22146871. The reversal of 22146864 is 46864122.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22146863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230649 + ... + 230744.

Almost surely, 222146864 is an apocalyptic number.

22146864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22146864 is an abundant number, since it is smaller than the sum of its proper divisors (35065992).

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

22146864 is a wasteful number, since it uses less digits than its factorization.

22146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461404 (or 461398 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22146864 is about 4706.0454736434. The cubic root of 22146864 is about 280.8260639275.

The spelling of 22146864 in words is "twenty-two million, one hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 461393 922786 1384179 1845572 2768358 3691144 5536716 7382288 11073432 22146864