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2246480082 = 235711173347
BaseRepresentation
bin1000010111100110…
…1001000011010010
312210120011000100000
42011321221003102
514100044330312
61010525510430
7106445523420
oct20571510322
95716130300
102246480082
11a53096810
12528412416
1329a556872
141744da110
15d234dadc
hex85e690d2

2246480082 has 192 divisors, whose sum is σ = 6347787264. Its totient is φ = 578456640.

The previous prime is 2246480059. The next prime is 2246480107. The reversal of 2246480082 is 2800846422.

It is a happy number.

2246480082 is a `hidden beast` number, since 2 + 2 + 4 + 648 + 0 + 0 + 8 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6473833 + ... + 6474179.

It is an arithmetic number, because the mean of its divisors is an integer number (33061392).

Almost surely, 22246480082 is an apocalyptic number.

2246480082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246480082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173893632).

2246480082 is an abundant number, since it is smaller than the sum of its proper divisors (4101307182).

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

2246480082 is a wasteful number, since it uses less digits than its factorization.

2246480082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2246480082 is about 47397.0471865073. The cubic root of 2246480082 is about 1309.6870223311.

The spelling of 2246480082 in words is "two billion, two hundred forty-six million, four hundred eighty thousand, eighty-two".