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2220000024 = 2331131271261
BaseRepresentation
bin1000010001010010…
…1000001100011000
312201201022200112010
42010110220030120
514021310000044
61004142145520
7106004455164
oct20424501430
95651280463
102220000024
11a3a14a970
1251b5822a0
13294c14aa8
14170ba5ca4
15ced6cbb9
hex84528318

2220000024 has 64 divisors (see below), whose sum is σ = 6249876480. Its totient is φ = 651024000.

The previous prime is 2219999989. The next prime is 2220000031. The reversal of 2220000024 is 4200000222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2219999964 and 2220000009.

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, 127447 + ... + 143814.

It is an arithmetic number, because the mean of its divisors is an integer number (97654320).

Almost surely, 22220000024 is an apocalyptic number.

2220000024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220000024 is an abundant number, since it is smaller than the sum of its proper divisors (4029876456).

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

2220000024 is a wasteful number, since it uses less digits than its factorization.

2220000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271312 (or 271308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220000024 is about 47116.8762122448. The cubic root of 2220000024 is about 1304.5207547214.

Adding to 2220000024 its reverse (4200000222), we get a palindrome (6420000246).

The spelling of 2220000024 in words is "two billion, two hundred twenty million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 271261 542522 813783 1085044 1627566 2170088 2983871 3255132 5967742 6510264 8409091 8951613 11935484 16818182 17903226 23870968 25227273 33636364 35806452 50454546 67272728 71612904 92500001 100909092 185000002 201818184 277500003 370000004 555000006 740000008 1110000012 2220000024