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2422365792 = 2537112313
BaseRepresentation
bin1001000001100010…
…0101111001100000
320020211002221011120
42100120211321200
514430111201132
61040211412240
7114012524640
oct22030457140
96224087146
102422365792
1110333a9300
125772b4080
132c7b19b52
1418da02520
15e29e302c
hex90625e60

2422365792 has 288 divisors, whose sum is σ = 8254052352. Its totient is φ = 608889600.

The previous prime is 2422365791. The next prime is 2422365793. The reversal of 2422365792 is 2975632242.

It is an interprime number because it is at equal distance from previous prime (2422365791) and next prime (2422365793).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (362880) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422365791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78140817 + ... + 78140847.

It is an arithmetic number, because the mean of its divisors is an integer number (28659904).

Almost surely, 22422365792 is an apocalyptic number.

2422365792 is a gapful number since it is divisible by the number (22) 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 2422365792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127026176).

2422365792 is an abundant number, since it is smaller than the sum of its proper divisors (5831686560).

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

2422365792 is an equidigital number, since it uses as much as digits as its factorization.

2422365792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 54 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2422365792 is about 49217.5354116803. The cubic root of 2422365792 is about 1343.0120467665.

The spelling of 2422365792 in words is "two billion, four hundred twenty-two million, three hundred sixty-five thousand, seven hundred ninety-two".