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2240422224 = 243376012099
BaseRepresentation
bin1000010110001010…
…0010000101010000
312210010202020111220
42011202202011100
514042022002344
61010152005040
7106343163135
oct20542420520
95703666456
102240422224
11a4a729417
12526390780
13299215431
141737a058c
15d1a53c19
hex858a2150

2240422224 has 80 divisors (see below), whose sum is σ = 5956910400. Its totient is φ = 725068800.

The previous prime is 2240422211. The next prime is 2240422241. The reversal of 2240422224 is 4222240422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240422194 and 2240422203.

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, 1066327 + ... + 1068425.

It is an arithmetic number, because the mean of its divisors is an integer number (74461380).

Almost surely, 22240422224 is an apocalyptic number.

2240422224 is a gapful number since it is divisible by the number (24) 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 2240422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978455200).

2240422224 is an abundant number, since it is smaller than the sum of its proper divisors (3716488176).

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

2240422224 is a wasteful number, since it uses less digits than its factorization.

2240422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2240422224 is about 47333.0986097466. The cubic root of 2240422224 is about 1308.5087285953.

Adding to 2240422224 its reverse (4222240422), we get a palindrome (6462662646).

The spelling of 2240422224 in words is "two billion, two hundred forty million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 601 888 1202 1776 1803 2099 2404 3606 4198 4808 6297 7212 8396 9616 12594 14424 16792 22237 25188 28848 33584 44474 50376 66711 77663 88948 100752 133422 155326 177896 232989 266844 310652 355792 465978 533688 621304 931956 1067376 1242608 1261499 1863912 2522998 3727824 3784497 5045996 7568994 10091992 15137988 20183984 30275976 46675463 60551952 93350926 140026389 186701852 280052778 373403704 560105556 746807408 1120211112 2240422224