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2240134020 = 2232543289423
BaseRepresentation
bin1000010110000101…
…1011101110000100
312210010012121011200
42011201123232010
514041433242040
61010141502500
7106340552655
oct20541335604
95703177150
102240134020
11a4a551933
12526271a30
132991441b7
1417372752c
15d19e8630
hex8585bb84

2240134020 has 72 divisors (see below), whose sum is σ = 6953122176. Its totient is φ = 583474752.

The previous prime is 2240134019. The next prime is 2240134027. The reversal of 2240134020 is 204310422.

It is a super-2 number, since 2×22401340202 = 10036400855122720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2240133984 and 2240134002.

It is not an unprimeable number, because it can be changed into a prime (2240134027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136972 + ... + 152451.

Almost surely, 22240134020 is an apocalyptic number.

2240134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240134020 is an abundant number, since it is smaller than the sum of its proper divisors (4712988156).

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

2240134020 is a wasteful number, since it uses less digits than its factorization.

2240134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289481 (or 289476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240134020 is about 47330.0540882852. The cubic root of 2240134020 is about 1308.4526180971.

Adding to 2240134020 its reverse (204310422), we get a palindrome (2444444442).

The spelling of 2240134020 in words is "two billion, two hundred forty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 289423 578846 868269 1157692 1447115 1736538 2604807 2894230 3473076 4341345 5209614 5788460 8682690 10419228 12445189 13024035 17365380 24890378 26048070 37335567 49780756 52096140 62225945 74671134 112006701 124451890 149342268 186677835 224013402 248903780 373355670 448026804 560033505 746711340 1120067010 2240134020