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2138332122 = 23441437487
BaseRepresentation
bin111111101110100…
…0101101111011010
312112000122112020000
41333131011233122
513334403111442
6552103513430
7103663344303
oct17735055732
95460575200
102138332122
119a803a633
124b8158876
1328101c4a4
14163dc77aa
15c7ad9d4c
hex7f745bda

2138332122 has 80 divisors (see below), whose sum is σ = 5023130112. Its totient is φ = 679129920.

The previous prime is 2138332093. The next prime is 2138332123. The reversal of 2138332122 is 2212338312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2138332123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281863 + ... + 289349.

Almost surely, 22138332122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511565056).

2138332122 is an abundant number, since it is smaller than the sum of its proper divisors (2884797990).

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

2138332122 is a wasteful number, since it uses less digits than its factorization.

2138332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7576 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2138332122 is about 46242.1033474906. The cubic root of 2138332122 is about 1288.3238696153.

The spelling of 2138332122 in words is "two billion, one hundred thirty-eight million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 43 54 81 82 86 123 129 162 246 258 369 387 738 774 1107 1161 1763 2214 2322 3321 3483 3526 5289 6642 6966 7487 10578 14974 15867 22461 31734 44922 47601 67383 95202 134766 142803 202149 285606 306967 321941 404298 606447 613934 643882 920901 965823 1212894 1841802 1931646 2762703 2897469 5525406 5794938 8288109 8692407 13199581 16576218 17384814 24864327 26077221 26399162 39598743 49728654 52154442 79197486 118796229 237592458 356388687 712777374 1069166061 2138332122