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2241312140 = 225671819241
BaseRepresentation
bin1000010110010111…
…1011010110001100
312210012102110020202
42011211323112030
514042233442030
61010223033032
7106353560504
oct20545732614
95705373222
102241312140
11a50186a91
1252673b778
13299467502
14173952a04
15d1b7c745
hex8597b58c

2241312140 has 48 divisors (see below), whose sum is σ = 4803917664. Its totient is φ = 878169600.

The previous prime is 2241312133. The next prime is 2241312169. The reversal of 2241312140 is 412131422.

2241312140 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 2×22413121402 = 10046960217822759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 237920 + ... + 247160.

It is an arithmetic number, because the mean of its divisors is an integer number (100081618).

Almost surely, 22241312140 is an apocalyptic number.

2241312140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241312140 is an abundant number, since it is smaller than the sum of its proper divisors (2562605524).

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

2241312140 is a wasteful number, since it uses less digits than its factorization.

2241312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2241312140 is about 47342.4982441780. The cubic root of 2241312140 is about 1308.6819561677.

Adding to 2241312140 its reverse (412131422), we get a palindrome (2653443562).

The spelling of 2241312140 in words is "two billion, two hundred forty-one million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 134 181 268 335 362 670 724 905 1340 1810 3620 9241 12127 18482 24254 36964 46205 48508 60635 92410 121270 184820 242540 619147 1238294 1672621 2476588 3095735 3345242 6191470 6690484 8363105 12382940 16726210 33452420 112065607 224131214 448262428 560328035 1120656070 2241312140