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2210119992 = 233511310061
BaseRepresentation
bin1000001110111011…
…1100000100111000
312201000201201200000
42003232330010320
514011242314432
61003150313000
7105524465343
oct20356740470
95630651600
102210119992
11a34611953
125181b8760
13292b65a12
1416d75345a
15ce06a57c
hex83bbc138

2210119992 has 96 divisors (see below), whose sum is σ = 6262991280. Its totient is φ = 730114560.

The previous prime is 2210119987. The next prime is 2210119993. The reversal of 2210119992 is 2999110122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210119993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214642 + ... + 224702.

Almost surely, 22210119992 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 2210119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131495640).

2210119992 is an abundant number, since it is smaller than the sum of its proper divisors (4052871288).

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

2210119992 is a wasteful number, since it uses less digits than its factorization.

2210119992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 2210119992 is about 47011.9132986523. The cubic root of 2210119992 is about 1302.5826354538.

The spelling of 2210119992 in words is "two billion, two hundred ten million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 324 339 452 486 648 678 904 972 1017 1356 1944 2034 2712 3051 4068 6102 8136 9153 10061 12204 18306 20122 24408 27459 30183 36612 40244 54918 60366 73224 80488 90549 109836 120732 181098 219672 241464 271647 362196 543294 724392 814941 1086588 1136893 1629882 2173176 2273786 2444823 3259764 3410679 4547572 4889646 6519528 6821358 9095144 9779292 10232037 13642716 19558584 20464074 27285432 30696111 40928148 61392222 81856296 92088333 122784444 184176666 245568888 276264999 368353332 552529998 736706664 1105059996 2210119992