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2122313340 = 2235737413331
BaseRepresentation
bin111111001111111…
…1110111001111100
312110220111200120210
41332133332321330
513321303011330
6550332312420
7103410236310
oct17637767174
95426450523
102122313340
11999a99474
124b2912710
1327a901214
14161c17b40
15c64c38b0
hex7e7fee7c

2122313340 has 192 divisors, whose sum is σ = 7147219968. Its totient is φ = 460339200.

The previous prime is 2122313329. The next prime is 2122313363. The reversal of 2122313340 is 433132212.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 635475 + ... + 638805.

It is an arithmetic number, because the mean of its divisors is an integer number (37225104).

Almost surely, 22122313340 is an apocalyptic number.

2122313340 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 2122313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573609984).

2122313340 is an abundant number, since it is smaller than the sum of its proper divisors (5024906628).

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

2122313340 is a wasteful number, since it uses less digits than its factorization.

2122313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2122313340 is about 46068.5721506539. The cubic root of 2122313340 is about 1285.0987504038.

Adding to 2122313340 its reverse (433132212), we get a palindrome (2555445552).

The spelling of 2122313340 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred forty".