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2280034240 = 265114631399
BaseRepresentation
bin1000011111100110…
…1000111111000000
312212220021201222121
42013321220333000
514132142043430
61014125014024
7110333654101
oct20771507700
95786251877
102280034240
11a70024520
125376b4314
132a44a44b3
14178b523a8
15d527aa7a
hex87e68fc0

2280034240 has 112 divisors (see below), whose sum is σ = 5939942400. Its totient is φ = 826721280.

The previous prime is 2280034223. The next prime is 2280034261. The reversal of 2280034240 is 424300822.

2280034240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22800342402 = 10397112271144755200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629061 + ... + 1630459.

It is an arithmetic number, because the mean of its divisors is an integer number (53035200).

Almost surely, 22280034240 is an apocalyptic number.

2280034240 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 2280034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969971200).

2280034240 is an abundant number, since it is smaller than the sum of its proper divisors (3659908160).

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

2280034240 is a wasteful number, since it uses less digits than its factorization.

2280034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2280034240 is about 47749.7040828527. The cubic root of 2280034240 is about 1316.1754615566.

The spelling of 2280034240 in words is "two billion, two hundred eighty million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 463 704 880 926 1399 1760 1852 2315 2798 3520 3704 4630 5093 5596 6995 7408 9260 10186 11192 13990 14816 15389 18520 20372 22384 25465 27980 29632 30778 37040 40744 44768 50930 55960 61556 74080 76945 81488 89536 101860 111920 123112 148160 153890 162976 203720 223840 246224 307780 325952 407440 447680 492448 615560 647737 814880 984896 1231120 1295474 1629760 2462240 2590948 3238685 4924480 5181896 6477370 7125107 10363792 12954740 14250214 20727584 25909480 28500428 35625535 41455168 51818960 57000856 71251070 103637920 114001712 142502140 207275840 228003424 285004280 456006848 570008560 1140017120 2280034240