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1422366480 = 24365293
BaseRepresentation
bin101010011000111…
…1001011100010000
310200010102201000000
41110301321130100
510403111211410
6353050130000
750150626023
oct12461713420
93603381000
101422366480
1166a985a97
12338420900
131988b0092
14d6c951ba
1584d11dc0
hex54c79710

1422366480 has 280 divisors, whose sum is σ = 5135307480. Its totient is φ = 366218496.

The previous prime is 1422366479. The next prime is 1422366487. The reversal of 1422366480 is 846632241.

1422366480 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 3 + 6 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 1420686864 = 1296^2 + 37692^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422366487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49047106 + ... + 49047134.

Almost surely, 21422366480 is an apocalyptic number.

1422366480 is a gapful number since it is divisible by the number (10) 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 1422366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567653740).

1422366480 is an abundant number, since it is smaller than the sum of its proper divisors (3712941000).

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

1422366480 is an frugal number, since it uses more digits than its factorization.

1422366480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1422366480 is about 37714.2742207775. The cubic root of 1422366480 is about 1124.6149081966.

The spelling of 1422366480 in words is "one billion, four hundred twenty-two million, three hundred sixty-six thousand, four hundred eighty".