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2400023000 = 235319126317
BaseRepresentation
bin1000111100001101…
…0111000111011000
320012021001210121202
42033003113013120
514403401214000
61034052453332
7113321600414
oct21703270730
96167053552
102400023000
111021828891
1256b91a248
132c32c626b
1418aa67d44
15e0a7cdd5
hex8f0d71d8

2400023000 has 64 divisors (see below), whose sum is σ = 5911682400. Its totient is φ = 909475200.

The previous prime is 2400022987. The next prime is 2400023023. The reversal of 2400023000 is 3200042.

2400023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24000230002 = 11520220801058000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44159 + ... + 82158.

Almost surely, 22400023000 is an apocalyptic number.

2400023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400023000 is an abundant number, since it is smaller than the sum of its proper divisors (3511659400).

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

2400023000 is a wasteful number, since it uses less digits than its factorization.

2400023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126357 (or 126343 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2400023000 is about 48990.0295978682. The cubic root of 2400023000 is about 1338.8701770834.

Adding to 2400023000 its reverse (3200042), we get a palindrome (2403223042).

The spelling of 2400023000 in words is "two billion, four hundred million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 126317 252634 505268 631585 1010536 1263170 2400023 2526340 3157925 4800046 5052680 6315850 9600092 12000115 12631700 15789625 19200184 24000230 25263400 31579250 48000460 60000575 63158500 96000920 120001150 126317000 240002300 300002875 480004600 600005750 1200011500 2400023000