Search a number
-
+
2270415720 = 233518920131
BaseRepresentation
bin1000011101010011…
…1100101101101000
312212020012001212010
42013110330231220
514122211300340
61013142515520
7110156133546
oct20724745550
95766161763
102270415720
11a65654a31
12534435ba0
132a24b7471
1417776ad96
15d44cab80
hex8753cb68

2270415720 has 32 divisors (see below), whose sum is σ = 6811247520. Its totient is φ = 605444160.

The previous prime is 2270415709. The next prime is 2270415733. The reversal of 2270415720 is 275140722.

2270415720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9459946 + ... + 9460185.

It is an arithmetic number, because the mean of its divisors is an integer number (212851485).

Almost surely, 22270415720 is an apocalyptic number.

2270415720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270415720 is an abundant number, since it is smaller than the sum of its proper divisors (4540831800).

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

2270415720 is a wasteful number, since it uses less digits than its factorization.

2270415720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920145 (or 18920141 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 2270415720 is about 47648.8795251263. The cubic root of 2270415720 is about 1314.3220531630.

The spelling of 2270415720 in words is "two billion, two hundred seventy million, four hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18920131 37840262 56760393 75680524 94600655 113520786 151361048 189201310 227041572 283801965 378402620 454083144 567603930 756805240 1135207860 2270415720