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2242634708820 = 22351167715673203
BaseRepresentation
bin100000101000100111011…
…100011111011101010100
321221101122001212011000010
4200220213130133131110
5243220403441140240
64434130244520220
7321011402333502
oct40504734373524
97841561764003
102242634708820
11795106911830
123027799b0070
1313363073c0ac
147a789017672
153d5093c3280
hex20a2771f754

2242634708820 has 192 divisors, whose sum is σ = 6866869395456. Its totient is φ = 542350149120.

The previous prime is 2242634708789. The next prime is 2242634708833. The reversal of 2242634708820 is 288074362422.

2242634708820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2242634708820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700165339 + ... + 700168541.

It is an arithmetic number, because the mean of its divisors is an integer number (35764944768).

Almost surely, 22242634708820 is an apocalyptic number.

2242634708820 is a gapful number since it is divisible by the number (20) 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 2242634708820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433434697728).

2242634708820 is an abundant number, since it is smaller than the sum of its proper divisors (4624234686636).

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

2242634708820 is a wasteful number, since it uses less digits than its factorization.

2242634708820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 2242634708820 in words is "two trillion, two hundred forty-two billion, six hundred thirty-four million, seven hundred eight thousand, eight hundred twenty".