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2114201364 = 22311193171383
BaseRepresentation
bin111111000000100…
…0010011100010100
312110100020120001020
41332001002130110
513312213420424
6545442401140
7103251262242
oct17601023424
95410216036
102114201364
11995458860
124b00601b0
13279020b32
14160b05792
15c5920079
hex7e042714

2114201364 has 192 divisors, whose sum is σ = 5945425920. Its totient is φ = 577584000.

The previous prime is 2114201357. The next prime is 2114201371. The reversal of 2114201364 is 4631024112.

It is an interprime number because it is at equal distance from previous prime (2114201357) and next prime (2114201371).

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 63 ways as a sum of consecutive naturals, for example, 5519917 + ... + 5520299.

It is an arithmetic number, because the mean of its divisors is an integer number (30965760).

Almost surely, 22114201364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114201364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972712960).

2114201364 is an abundant number, since it is smaller than the sum of its proper divisors (3831224556).

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

2114201364 is a wasteful number, since it uses less digits than its factorization.

2114201364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2114201364 is about 45980.4454523877. The cubic root of 2114201364 is about 1283.4593442953.

Adding to 2114201364 its reverse (4631024112), we get a palindrome (6745225476).

The spelling of 2114201364 in words is "two billion, one hundred fourteen million, two hundred one thousand, three hundred sixty-four".