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2222431420 = 22511171274679
BaseRepresentation
bin1000010001110111…
…1001110010111100
312201212220012202211
42010131321302330
514022420301140
61004310230204
7106034232616
oct20435716274
95655805684
102222431420
11a40560690
12520355364
132955866a1
14171239db6
15d019d2ea
hex84779cbc

2222431420 has 96 divisors (see below), whose sum is σ = 5434490880. Its totient is φ = 754467840.

The previous prime is 2222431319. The next prime is 2222431441. The reversal of 2222431420 is 241342222.

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 = 2222431391 and 2222431400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472641 + ... + 477319.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 22222431420 is an apocalyptic number.

2222431420 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 2222431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

2222431420 is an abundant number, since it is smaller than the sum of its proper divisors (3212059460).

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

2222431420 is a wasteful number, since it uses less digits than its factorization.

2222431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2222431420 is about 47142.6709043940. The cubic root of 2222431420 is about 1304.9968281853.

Adding to 2222431420 its reverse (241342222), we get a palindrome (2463773642).

The spelling of 2222431420 in words is "two billion, two hundred twenty-two million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 127 170 187 220 254 340 374 508 635 748 935 1270 1397 1870 2159 2540 2794 3740 4318 4679 5588 6985 8636 9358 10795 13970 18716 21590 23395 23749 27940 43180 46790 47498 51469 79543 93580 94996 102938 118745 159086 205876 237490 257345 318172 397715 474980 514690 594233 795430 874973 1029380 1188466 1590860 1749946 2376932 2971165 3499892 4374865 5942330 6536563 8749730 10101961 11884660 13073126 17499460 20203922 26146252 32682815 40407844 50509805 65365630 101019610 111121571 130731260 202039220 222243142 444486284 555607855 1111215710 2222431420