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2216906496 = 283671697
BaseRepresentation
bin1000010000100011…
…0100111100000000
312201111111112000000
42010020310330000
514020012001441
61003552000000
7105636252150
oct20410647400
95644445000
102216906496
11a38427732
1251a530000
132943a09bc
141705dc760
15ce95b2b6
hex84234f00

2216906496 has 252 divisors, whose sum is σ = 7586976432. Its totient is φ = 633028608.

The previous prime is 2216906459. The next prime is 2216906501. The reversal of 2216906496 is 6946096122.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305520 + ... + 1307216.

Almost surely, 22216906496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793488216).

2216906496 is an abundant number, since it is smaller than the sum of its proper divisors (5370069936).

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

2216906496 is an frugal number, since it uses more digits than its factorization.

2216906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2216906496 is about 47084.0365304420. The cubic root of 2216906496 is about 1303.9145313900.

The spelling of 2216906496 in words is "two billion, two hundred sixteen million, nine hundred six thousand, four hundred ninety-six".