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2208796128 = 253572111731
BaseRepresentation
bin1000001110100111…
…1000110111100000
312200221020110200000
42003221320313200
514010422434003
61003102100000
7105510312600
oct20351706740
95627213600
102208796128
11a33898250
1251787a600
132927c1276
1416d4cac00
15cdda81a3
hex83a78de0

2208796128 has 864 divisors, whose sum is σ = 9034841088. Its totient is φ = 522547200.

The previous prime is 2208796103. The next prime is 2208796171. The reversal of 2208796128 is 8216978022.

2208796128 is a `hidden beast` number, since 2 + 20 + 8 + 7 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71251473 + ... + 71251503.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 22208796128 is an apocalyptic number.

2208796128 is a gapful number since it is divisible by the number (28) 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 2208796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

2208796128 is an abundant number, since it is smaller than the sum of its proper divisors (6826044960).

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

2208796128 is a wasteful number, since it uses less digits than its factorization.

2208796128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2208796128 is about 46997.8310988922. The cubic root of 2208796128 is about 1302.3225007563.

The spelling of 2208796128 in words is "two billion, two hundred eight million, seven hundred ninety-six thousand, one hundred twenty-eight".