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2240834240 = 2657739059
BaseRepresentation
bin1000010110010000…
…0110101011000000
312210011112011200202
42011210012223000
514042123143430
61010204504332
7106346530301
oct20544065300
95704464622
102240834240
11a4a98aa27
1252654b0a8
1329932ab28
1417386a7a8
15d1ad5d45
hex85906ac0

2240834240 has 56 divisors (see below), whose sum is σ = 5343479280. Its totient is φ = 895075328.

The previous prime is 2240834237. The next prime is 2240834261. The reversal of 2240834240 is 424380422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242831 + ... + 251889.

Almost surely, 22240834240 is an apocalyptic number.

2240834240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240834240 is an abundant number, since it is smaller than the sum of its proper divisors (3102645040).

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

2240834240 is an equidigital number, since it uses as much as digits as its factorization.

2240834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 2240834240 is about 47337.4507129397. The cubic root of 2240834240 is about 1308.5889357219.

The spelling of 2240834240 in words is "two billion, two hundred forty million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 773 1546 3092 3865 6184 7730 9059 12368 15460 18118 24736 30920 36236 45295 49472 61840 72472 90590 123680 144944 181180 247360 289888 362360 579776 724720 1449440 2898880 7002607 14005214 28010428 35013035 56020856 70026070 112041712 140052140 224083424 280104280 448166848 560208560 1120417120 2240834240