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2224540120 = 2351129174337
BaseRepresentation
bin1000010010010111…
…1100100111011000
312202000212100100211
42010211330213120
514023440240440
61004423340504
7106061164465
oct20445744730
95660770324
102224540120
11a41770a10
12520bb1734
13295b4443a
1417162866c
15d0467eea
hex8497c9d8

2224540120 has 64 divisors (see below), whose sum is σ = 5648551200. Its totient is φ = 781025280.

The previous prime is 2224540111. The next prime is 2224540139. The reversal of 2224540120 is 210454222.

It is a super-2 number, since 2×22245401202 = 9897157490979228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2224540091 and 2224540100.

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, 74409 + ... + 99928.

Almost surely, 22224540120 is an apocalyptic number.

2224540120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224540120 is an abundant number, since it is smaller than the sum of its proper divisors (3424011080).

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

2224540120 is a wasteful number, since it uses less digits than its factorization.

2224540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174388 (or 174384 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2224540120 is about 47165.0306901204. The cubic root of 2224540120 is about 1305.4094358822.

Adding to 2224540120 its reverse (210454222), we get a palindrome (2434994342).

The spelling of 2224540120 in words is "two billion, two hundred twenty-four million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 174337 348674 697348 871685 1394696 1743370 1917707 3486740 3835414 5055773 6973480 7670828 9588535 10111546 15341656 19177070 20223092 25278865 38354140 40446184 50557730 55613503 76708280 101115460 111227006 202230920 222454012 278067515 444908024 556135030 1112270060 2224540120