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2321106480 = 2432572115981
BaseRepresentation
bin1000101001011001…
…0100011000110000
312222202120102111200
42022112110120300
514223200401410
61022153211200
7111343036200
oct21226243060
95882512450
102321106480
11a91227720
12549400b00
132acb550b4
141803a4400
15d8b903c0
hex8a594630

2321106480 has 360 divisors, whose sum is σ = 9893701584. Its totient is φ = 482227200.

The previous prime is 2321106461. The next prime is 2321106497. The reversal of 2321106480 is 846011232.

2321106480 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 10 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385090 + ... + 391070.

Almost surely, 22321106480 is an apocalyptic number.

2321106480 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 2321106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946850792).

2321106480 is an abundant number, since it is smaller than the sum of its proper divisors (7572595104).

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

2321106480 is a wasteful number, since it uses less digits than its factorization.

2321106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2321106480 is about 48177.8629663043. The cubic root of 2321106480 is about 1324.0316132927.

It can be divided in two parts, 2321 and 106480, that added together give a palindrome (108801).

The spelling of 2321106480 in words is "two billion, three hundred twenty-one million, one hundred six thousand, four hundred eighty".