Search a number
-
+
2122333220 = 225738339581
BaseRepresentation
bin111111010000000…
…0011110000100100
312110220112200212002
41332200003300210
513321304130340
6550332544432
7103410351260
oct17640036044
95426480762
102122333220
1199a0023a7
124b2922118
1327a90a297
14161c210a0
15c64c9715
hex7e803c24

2122333220 has 48 divisors (see below), whose sum is σ = 5107027968. Its totient is φ = 725738880.

The previous prime is 2122333189. The next prime is 2122333243. The reversal of 2122333220 is 223332212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122333192 and 2122333201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33830 + ... + 73410.

It is an arithmetic number, because the mean of its divisors is an integer number (106396416).

Almost surely, 22122333220 is an apocalyptic number.

2122333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122333220 is an abundant number, since it is smaller than the sum of its proper divisors (2984694748).

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

2122333220 is a wasteful number, since it uses less digits than its factorization.

2122333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39980 (or 39978 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2122333220 is about 46068.7879154640. The cubic root of 2122333220 is about 1285.1027629566.

Adding to 2122333220 its reverse (223332212), we get a palindrome (2345665432).

The spelling of 2122333220 in words is "two billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 383 766 1532 1915 2681 3830 5362 7660 10724 13405 26810 39581 53620 79162 158324 197905 277067 395810 554134 791620 1108268 1385335 2770670 5541340 15159523 30319046 60638092 75797615 106116661 151595230 212233322 303190460 424466644 530583305 1061166610 2122333220