Search a number
-
+
2470238080 = 2755097583
BaseRepresentation
bin1001001100111100…
…1101011110000000
320101011012002121021
42103033031132000
520024340104310
61045041435224
7115133451202
oct22317153600
96334162537
102470238080
111058426482
1258b33bb14
13304a0b94b
14196104772
15e6cec5da
hex933cd780

2470238080 has 64 divisors (see below), whose sum is σ = 5917795200. Its totient is φ = 986023936.

The previous prime is 2470238077. The next prime is 2470238087. The reversal of 2470238080 is 808320742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24702380802 = 12204152343764172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2470238087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321969 + ... + 329551.

It is an arithmetic number, because the mean of its divisors is an integer number (92465550).

Almost surely, 22470238080 is an apocalyptic number.

2470238080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2470238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958897600).

2470238080 is an abundant number, since it is smaller than the sum of its proper divisors (3447557120).

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

2470238080 is an equidigital number, since it uses as much as digits as its factorization.

2470238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2470238080 is about 49701.4897161041. The cubic root of 2470238080 is about 1351.8015417767.

The spelling of 2470238080 in words is "two billion, four hundred seventy million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 509 640 1018 2036 2545 4072 5090 7583 8144 10180 15166 16288 20360 30332 32576 37915 40720 60664 65152 75830 81440 121328 151660 162880 242656 303320 325760 485312 606640 970624 1213280 2426560 3859747 4853120 7719494 15438988 19298735 30877976 38597470 61755952 77194940 123511904 154389880 247023808 308779760 494047616 617559520 1235119040 2470238080