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2472753220 = 225718197583
BaseRepresentation
bin1001001101100011…
…0011100001000100
320101022220212201121
42103120303201010
520031011100340
61045211403324
7115164025030
oct22330634104
96338825647
102472753220
111059894103
12590153544
133053ac6b2
1419659b1c0
15e714794a
hex93633844

2472753220 has 48 divisors (see below), whose sum is σ = 5967456768. Its totient is φ = 843108480.

The previous prime is 2472753209. The next prime is 2472753229. The reversal of 2472753220 is 223572742.

It is a super-2 number, since 2×24727532202 = 12229016974040736800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472753229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23452 + ... + 74131.

It is an arithmetic number, because the mean of its divisors is an integer number (124322016).

Almost surely, 22472753220 is an apocalyptic number.

2472753220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2472753220 is an abundant number, since it is smaller than the sum of its proper divisors (3494703548).

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

2472753220 is a wasteful number, since it uses less digits than its factorization.

2472753220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97780 (or 97778 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 2472753220 is about 49726.7857396796. The cubic root of 2472753220 is about 1352.2601773074.

The spelling of 2472753220 in words is "two billion, four hundred seventy-two million, seven hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 97583 195166 390332 487915 683081 975830 1366162 1951660 2732324 3415405 6830810 13661620 17662523 35325046 70650092 88312615 123637661 176625230 247275322 353250460 494550644 618188305 1236376610 2472753220