Search a number
-
+
422232989024 = 257311191031787
BaseRepresentation
bin1100010010011110000…
…11000001110101100000
31111100212010212020022202
412021033003001311200
523404213121122044
6521545434152332
742335220122000
oct6111703016540
91440763766282
10422232989024
111530825730a0
12699b8b826a8
1330a7c827c52
1416616c72000
15aeb36eac4e
hex624f0c1d60

422232989024 has 384 divisors, whose sum is σ = 1124637696000. Its totient is φ = 154248675840.

The previous prime is 422232989021. The next prime is 422232989039. The reversal of 422232989024 is 420989232224.

It is a self number, because there is not a number n which added to its sum of digits gives 422232989024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422232989021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236279459 + ... + 236281245.

It is an arithmetic number, because the mean of its divisors is an integer number (2928744000).

Almost surely, 2422232989024 is an apocalyptic number.

422232989024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422232989024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562318848000).

422232989024 is an abundant number, since it is smaller than the sum of its proper divisors (702404706976).

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

422232989024 is a wasteful number, since it uses less digits than its factorization.

422232989024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 422232989024 in words is "four hundred twenty-two billion, two hundred thirty-two million, nine hundred eighty-nine thousand, twenty-four".