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2240220440 = 2351572331531
BaseRepresentation
bin1000010110000111…
…0000110100011000
312210010100222201102
42011201300310120
514041444023230
61010143410532
7106341362633
oct20541606430
95703328642
102240220440
11a4a600857
125262b3a48
13299174633
1417374ac1a
15d1a14045
hex85870d18

2240220440 has 64 divisors (see below), whose sum is σ = 5097699360. Its totient is φ = 885980160.

The previous prime is 2240220419. The next prime is 2240220497. The reversal of 2240220440 is 440220422.

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

It is a congruent number.

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, 1462475 + ... + 1464005.

Almost surely, 22240220440 is an apocalyptic number.

2240220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240220440 is an abundant number, since it is smaller than the sum of its proper divisors (2857478920).

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

2240220440 is a wasteful number, since it uses less digits than its factorization.

2240220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240220440 is about 47330.9670300534. The cubic root of 2240220440 is about 1308.4694437305.

Adding to 2240220440 its reverse (440220422), we get a palindrome (2680440862).

The spelling of 2240220440 in words is "two billion, two hundred forty million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 233 314 466 628 785 932 1165 1256 1531 1570 1864 2330 3062 3140 4660 6124 6280 7655 9320 12248 15310 30620 36581 61240 73162 146324 182905 240367 292648 356723 365810 480734 713446 731620 961468 1201835 1426892 1463240 1783615 1922936 2403670 2853784 3567230 4807340 7134460 9614680 14268920 56005511 112011022 224022044 280027555 448044088 560055110 1120110220 2240220440