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2199096480 = 25357319237
BaseRepresentation
bin1000001100010011…
…1000110010100000
312200020222200020210
42003010320302200
514000432041410
61002114134120
7105332004000
oct20304706240
95606880223
102199096480
11a29372809
12514581340
132907a6329
1416c0c4000
15cd0de220
hex83138ca0

2199096480 has 576 divisors, whose sum is σ = 8756294400. Its totient is φ = 463325184.

The previous prime is 2199096469. The next prime is 2199096509. The reversal of 2199096480 is 846909912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59435022 + ... + 59435058.

It is an arithmetic number, because the mean of its divisors is an integer number (15201900).

Almost surely, 22199096480 is an apocalyptic number.

2199096480 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 2199096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378147200).

2199096480 is an abundant number, since it is smaller than the sum of its proper divisors (6557197920).

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

2199096480 is a wasteful number, since it uses less digits than its factorization.

2199096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 2199096480 is about 46894.5250535710. The cubic root of 2199096480 is about 1300.4133754438.

The spelling of 2199096480 in words is "two billion, one hundred ninety-nine million, ninety-six thousand, four hundred eighty".