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2264264624622 = 23711213375571663
BaseRepresentation
bin100000111100110000101…
…100000100100111101110
322000110110111100201101210
4200330300230010213232
5244044203220441442
64452104441015250
7322405405515510
oct40746054044756
98013414321353
102264264624622
117a32a6395700
123069b5784526
131356999c5340
147b83b97dbb0
153dd7329c19c
hex20f30b049ee

2264264624622 has 384 divisors, whose sum is σ = 6306988326912. Its totient is φ = 526942817280.

The previous prime is 2264264624603. The next prime is 2264264624639.

2264264624622 is nontrivially palindromic in base 10.

Its product of digits (5308416) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1361553363 + ... + 1361555025.

It is an arithmetic number, because the mean of its divisors is an integer number (16424448768).

Almost surely, 22264264624622 is an apocalyptic number.

2264264624622 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 2264264624622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153494163456).

2264264624622 is an abundant number, since it is smaller than the sum of its proper divisors (4042723702290).

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

2264264624622 is a wasteful number, since it uses less digits than its factorization.

2264264624622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 2264264624622 in words is "two trillion, two hundred sixty-four billion, two hundred sixty-four million, six hundred twenty-four thousand, six hundred twenty-two".