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422451468 = 2232291732339
BaseRepresentation
bin11001001011100…
…001100100001100
31002102220202110200
4121023201210030
51331121421333
6105530333500
713316530635
oct3113414414
91072822420
10422451468
111a751004a
12b958a290
13696a27aa
144016a88c
152714ac13
hex192e190c

422451468 has 72 divisors (see below), whose sum is σ = 1111546800. Its totient is φ = 135117696.

The previous prime is 422451467. The next prime is 422451481. The reversal of 422451468 is 864154224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422451461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179443 + ... + 181781.

It is an arithmetic number, because the mean of its divisors is an integer number (15438150).

Almost surely, 2422451468 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 422451468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555773400).

422451468 is an abundant number, since it is smaller than the sum of its proper divisors (689095332).

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

422451468 is a wasteful number, since it uses less digits than its factorization.

422451468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2546 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 422451468 is about 20553.6242059643. The cubic root of 422451468 is about 750.3414551875.

The spelling of 422451468 in words is "four hundred twenty-two million, four hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 261 346 348 519 522 692 1038 1044 1557 2076 2339 3114 4678 5017 6228 7017 9356 10034 14034 15051 20068 21051 28068 30102 42102 45153 60204 67831 84204 90306 135662 180612 203493 271324 404647 406986 610479 809294 813972 1213941 1220958 1618588 2427882 2441916 3641823 4855764 7283646 11734763 14567292 23469526 35204289 46939052 70408578 105612867 140817156 211225734 422451468