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2423045200 = 24527382981
BaseRepresentation
bin1001000001101100…
…1011110001010000
320020212101110010211
42100123023301100
514430244421300
61040234133504
7114021354502
oct22033136120
96225343124
102423045200
1110338227a4
12577581294
132c7cc7174
1418db3bd72
15e2ac94ba
hex906cbc50

2423045200 has 60 divisors (see below), whose sum is σ = 5901181948. Its totient is φ = 955929600.

The previous prime is 2423045189. The next prime is 2423045231. The reversal of 2423045200 is 25403242.

It can be written as a sum of positive squares in 6 ways, for example, as 94789696 + 2328255504 = 9736^2 + 48252^2 .

It is a super-2 number, since 2×24230452002 = 11742296082486080000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 12291 + ... + 70690.

Almost surely, 22423045200 is an apocalyptic number.

2423045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2423045200 is an abundant number, since it is smaller than the sum of its proper divisors (3478136748).

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

2423045200 is a wasteful number, since it uses less digits than its factorization.

2423045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83072 (or 83061 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2423045200 is about 49224.4370206506. The cubic root of 2423045200 is about 1343.1375945319.

Adding to 2423045200 its reverse (25403242), we get a palindrome (2448448442).

The spelling of 2423045200 in words is "two billion, four hundred twenty-three million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 82981 165962 331924 414905 663848 829810 1327696 1659620 2074525 3319240 4149050 6057613 6638480 8298100 12115226 16596200 24230452 30288065 33192400 48460904 60576130 96921808 121152260 151440325 242304520 302880650 484609040 605761300 1211522600 2423045200