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2423209992 = 2337193112441
BaseRepresentation
bin1001000001101111…
…0100000000001000
320020212200211012020
42100123310000020
514430320204432
61040241444440
7114022642110
oct22033640010
96225624166
102423209992
111033925595
12577640720
132c8054188
1418db82040
15e2b0d22c
hex906f4008

2423209992 has 128 divisors (see below), whose sum is σ = 7314278400. Its totient is φ = 653529600.

The previous prime is 2423209939. The next prime is 2423210029. The reversal of 2423209992 is 2999023242.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991492 + ... + 993932.

It is an arithmetic number, because the mean of its divisors is an integer number (57142800).

Almost surely, 22423209992 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 2423209992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657139200).

2423209992 is an abundant number, since it is smaller than the sum of its proper divisors (4891068408).

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

2423209992 is a wasteful number, since it uses less digits than its factorization.

2423209992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2423209992 is about 49226.1108762413. The cubic root of 2423209992 is about 1343.1680428995.

The spelling of 2423209992 in words is "two billion, four hundred twenty-three million, two hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 311 399 456 532 622 798 933 1064 1244 1596 1866 2177 2441 2488 3192 3732 4354 4882 5909 6531 7323 7464 8708 9764 11818 13062 14646 17087 17416 17727 19528 23636 26124 29292 34174 35454 41363 46379 47272 51261 52248 58584 68348 70908 82726 92758 102522 124089 136696 139137 141816 165452 185516 205044 248178 278274 324653 330904 371032 410088 496356 556548 649306 759151 973959 992712 1113096 1298612 1518302 1947918 2277453 2597224 3036604 3895836 4554906 5314057 6073208 7791672 9109812 10628114 14423869 15942171 18219624 21256228 28847738 31884342 42512456 43271607 57695476 63768684 86543214 100967083 115390952 127537368 173086428 201934166 302901249 346172856 403868332 605802498 807736664 1211604996 2423209992