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2122230420 = 2232565917891
BaseRepresentation
bin111111001111110…
…1010101010010100
312110220100110211200
41332133222222110
513321242333140
6550330432500
7103406442462
oct17637525224
95426313750
102122230420
11999a42142
124b2892730
1327a8a255b
14161bd5832
15c64a9030
hex7e7eaa94

2122230420 has 72 divisors (see below), whose sum is σ = 6447561120. Its totient is φ = 565037760.

The previous prime is 2122230419. The next prime is 2122230503. The reversal of 2122230420 is 240322212.

2122230420 is a `hidden beast` number, since 2 + 12 + 2 + 230 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122230393 and 2122230402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109675 + ... + 127565.

It is an arithmetic number, because the mean of its divisors is an integer number (89549460).

Almost surely, 22122230420 is an apocalyptic number.

2122230420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122230420 is an abundant number, since it is smaller than the sum of its proper divisors (4325330700).

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

2122230420 is a wasteful number, since it uses less digits than its factorization.

2122230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18565 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122230420 is about 46067.6721790889. The cubic root of 2122230420 is about 1285.0820136706.

Adding to 2122230420 its reverse (240322212), we get a palindrome (2362552632).

The spelling of 2122230420 in words is "two billion, one hundred twenty-two million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 17891 19770 23724 29655 35782 39540 53673 59310 71564 89455 107346 118620 161019 178910 214692 268365 322038 357820 536730 644076 805095 1073460 1610190 3220380 11790169 23580338 35370507 47160676 58950845 70741014 106111521 117901690 141482028 176852535 212223042 235803380 353705070 424446084 530557605 707410140 1061115210 2122230420