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1005225640 = 235171478273
BaseRepresentation
bin111011111010101…
…000011010101000
32121001111202100021
4323322220122220
54024314210030
6243425250224
733624163666
oct7372503250
92531452307
101005225640
114764729a1
12240793974
13130349893
149770bc36
155d3b497a
hex3bea86a8

1005225640 has 32 divisors (see below), whose sum is σ = 2394803880. Its totient is φ = 378437632.

The previous prime is 1005225619. The next prime is 1005225653. The reversal of 1005225640 is 465225001.

It can be written as a sum of positive squares in 4 ways, for example, as 739731204 + 265494436 = 27198^2 + 16294^2 .

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, 738457 + ... + 739816.

Almost surely, 21005225640 is an apocalyptic number.

1005225640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005225640 is an abundant number, since it is smaller than the sum of its proper divisors (1389578240).

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

1005225640 is a wasteful number, since it uses less digits than its factorization.

1005225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478301 (or 1478297 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1005225640 is about 31705.2935643246. The cubic root of 1005225640 is about 1001.7388546320.

The spelling of 1005225640 in words is "one billion, five million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1478273 2956546 5913092 7391365 11826184 14782730 25130641 29565460 50261282 59130920 100522564 125653205 201045128 251306410 502612820 1005225640