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2274702820 = 2251323371997
BaseRepresentation
bin1000011110010101…
…0011010111100100
312212112020212122121
42013211103113210
514124310442240
61013414435324
7110240440435
oct20745232744
95775225577
102274702820
11a68012995
12535962b44
132a3358900
1417816548c
15d4a7604a
hex879535e4

2274702820 has 72 divisors (see below), whose sum is σ = 5190540264. Its totient is φ = 836978688.

The previous prime is 2274702791. The next prime is 2274702847. The reversal of 2274702820 is 282074722.

2274702820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2096907264 + 177795556 = 45792^2 + 13334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138062 + ... + 1140058.

It is an arithmetic number, because the mean of its divisors is an integer number (72090837).

Almost surely, 22274702820 is an apocalyptic number.

2274702820 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 2274702820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595270132).

2274702820 is an abundant number, since it is smaller than the sum of its proper divisors (2915837444).

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

2274702820 is a wasteful number, since it uses less digits than its factorization.

2274702820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 2274702820 is about 47693.8446762263. The cubic root of 2274702820 is about 1315.1487868196.

The spelling of 2274702820 in words is "two billion, two hundred seventy-four million, seven hundred two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 337 338 674 676 845 1348 1685 1690 1997 3370 3380 3994 4381 6740 7988 8762 9985 17524 19970 21905 25961 39940 43810 51922 56953 87620 103844 113906 129805 227812 259610 284765 337493 519220 569530 672989 674986 1139060 1345978 1349972 1687465 2691956 3364945 3374930 6729890 6749860 8748857 13459780 17497714 34995428 43744285 87488570 113735141 174977140 227470282 454940564 568675705 1137351410 2274702820