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2240012220 = 22351935443
BaseRepresentation
bin1000010110000011…
…1101111110111100
312210002222102002120
42011200331332330
514041420342340
61010135122540
7106336534605
oct20540757674
95702872076
102240012220
11a4a479376
12526213450
13299100924
141736d4dac
15d19c24d0
hex8583dfbc

2240012220 has 96 divisors (see below), whose sum is σ = 6621646080. Its totient is φ = 565793856.

The previous prime is 2240012219. The next prime is 2240012237. The reversal of 2240012220 is 222100422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2240012220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408819 + ... + 414261.

It is an arithmetic number, because the mean of its divisors is an integer number (68975480).

Almost surely, 22240012220 is an apocalyptic number.

2240012220 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 2240012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310823040).

2240012220 is an abundant number, since it is smaller than the sum of its proper divisors (4381633860).

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

2240012220 is a wasteful number, since it uses less digits than its factorization.

2240012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2240012220 is about 47328.7673619333. The cubic root of 2240012220 is about 1308.4289033824.

Adding to 2240012220 its reverse (222100422), we get a palindrome (2462112642).

The spelling of 2240012220 in words is "two billion, two hundred forty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 5443 6859 7220 10830 10886 13718 16329 20577 21660 21772 27215 27436 32658 34295 41154 54430 65316 68590 81645 82308 102885 103417 108860 137180 163290 205770 206834 310251 326580 411540 413668 517085 620502 1034170 1241004 1551255 1964923 2068340 3102510 3929846 5894769 6205020 7859692 9824615 11789538 19649230 23579076 29473845 37333537 39298460 58947690 74667074 112000611 117895380 149334148 186667685 224001222 373335370 448002444 560003055 746670740 1120006110 2240012220