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2422478520 = 23325711281311
BaseRepresentation
bin1001000001100100…
…0001011010111000
320020211022122210200
42100121001122320
514430123303040
61040214042200
7114013504410
oct22031013270
96224278720
102422478520
111033475a70
12577349360
132c7b59257
1418da31640
15e2a16630
hex906416b8

2422478520 has 384 divisors, whose sum is σ = 9882362880. Its totient is φ = 499968000.

The previous prime is 2422478507. The next prime is 2422478537. The reversal of 2422478520 is 258742242.

2422478520 is a `hidden beast` number, since 2 + 42 + 24 + 78 + 520 = 666.

It is a super-2 number, since 2×24224785202 = 11736804359722780800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7789165 + ... + 7789475.

It is an arithmetic number, because the mean of its divisors is an integer number (25735320).

Almost surely, 22422478520 is an apocalyptic number.

2422478520 is a gapful number since it is divisible by the number (20) 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 2422478520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941181440).

2422478520 is an abundant number, since it is smaller than the sum of its proper divisors (7459884360).

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

2422478520 is a wasteful number, since it uses less digits than its factorization.

2422478520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2422478520 is about 49218.6805999511. The cubic root of 2422478520 is about 1343.0328793914.

The spelling of 2422478520 in words is "two billion, four hundred twenty-two million, four hundred seventy-eight thousand, five hundred twenty".