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2211282990 = 23657172549
BaseRepresentation
bin1000001111001101…
…1000000000101110
312201002220211000000
42003303120000232
514012042023430
61003231245130
7105540411120
oct20363300056
95632824000
102211282990
11a35236704
125186797a6
13293182197
1416d977210
15ce1e9e60
hex83cd802e

2211282990 has 224 divisors, whose sum is σ = 7224292800. Its totient is φ = 475517952.

The previous prime is 2211282977. The next prime is 2211283021. The reversal of 2211282990 is 992821122.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 866236 + ... + 868784.

Almost surely, 22211282990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211282990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612146400).

2211282990 is an abundant number, since it is smaller than the sum of its proper divisors (5013009810).

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

2211282990 is a wasteful number, since it uses less digits than its factorization.

2211282990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2211282990 is about 47024.2808557452. The cubic root of 2211282990 is about 1302.8110748390.

The spelling of 2211282990 in words is "two billion, two hundred eleven million, two hundred eighty-two thousand, nine hundred ninety".