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2240432220 = 22351316691721
BaseRepresentation
bin1000010110001010…
…0100100001011100
312210010202202020010
42011202210201130
514042022312340
61010152123220
7106343234235
oct20542444134
95703682203
102240432220
11a4a735984
12526396510
13299219b50
141737a408c
15d1a56b80
hex858a485c

2240432220 has 96 divisors (see below), whose sum is σ = 6763740480. Its totient is φ = 550840320.

The previous prime is 2240432213. The next prime is 2240432221. The reversal of 2240432220 is 222340422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240432221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300960 + ... + 1302680.

It is an arithmetic number, because the mean of its divisors is an integer number (70455630).

Almost surely, 22240432220 is an apocalyptic number.

2240432220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381870240).

2240432220 is an abundant number, since it is smaller than the sum of its proper divisors (4523308260).

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

2240432220 is a wasteful number, since it uses less digits than its factorization.

2240432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2240432220 is about 47333.2042017018. The cubic root of 2240432220 is about 1308.5106746323.

Adding to 2240432220 its reverse (222340422), we get a palindrome (2462772642).

The spelling of 2240432220 in words is "two billion, two hundred forty million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1669 1721 3338 3442 5007 5163 6676 6884 8345 8605 10014 10326 16690 17210 20028 20652 21697 22373 25035 25815 33380 34420 43394 44746 50070 51630 65091 67119 86788 89492 100140 103260 108485 111865 130182 134238 216970 223730 260364 268476 325455 335595 433940 447460 650910 671190 1301820 1342380 2872349 5744698 8617047 11489396 14361745 17234094 28723490 34468188 37340537 43085235 57446980 74681074 86170470 112021611 149362148 172340940 186702685 224043222 373405370 448086444 560108055 746810740 1120216110 2240432220