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2282087040 = 27351188587
BaseRepresentation
bin1000100000000101…
…1110001010000000
312220001011000220020
42020001132022000
514133203241130
61014241013440
7110360263662
oct21001361200
95801130806
102282087040
11a711a6852
12538324280
132a4a4297c
14179128532
15d5533e10
hex8805e280

2282087040 has 64 divisors (see below), whose sum is σ = 7274158560. Its totient is φ = 608556032.

The previous prime is 2282087039. The next prime is 2282087051. The reversal of 2282087040 is 407802822.

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

It is a junction number, because it is equal to n+sod(n) for n = 2282086992 and 2282087010.

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, 592374 + ... + 596213.

Almost surely, 22282087040 is an apocalyptic number.

2282087040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282087040 is an abundant number, since it is smaller than the sum of its proper divisors (4992071520).

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

2282087040 is a wasteful number, since it uses less digits than its factorization.

2282087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188609 (or 1188597 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2282087040 is about 47771.1946679168. The cubic root of 2282087040 is about 1316.5703437164.

Adding to 2282087040 its reverse (407802822), we get a palindrome (2689889862).

The spelling of 2282087040 in words is "two billion, two hundred eighty-two million, eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1188587 2377174 3565761 4754348 5942935 7131522 9508696 11885870 14263044 17828805 19017392 23771740 28526088 35657610 38034784 47543480 57052176 71315220 76069568 95086960 114104352 142630440 152139136 190173920 228208704 285260880 380347840 456417408 570521760 760695680 1141043520 2282087040