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2230212120322 = 2293110120635953
BaseRepresentation
bin100000011101000011000…
…000000100111100000010
321220012120022120021012211
4200131003000010330002
5243014433300322242
64424313441412334
7320061510145354
oct40350300047402
97805508507184
102230212120322
1178a91166716a
1230029163a0aa
13132400b87604
1479d2b2350d4
153d02d9cb317
hex20743004f02

2230212120322 has 64 divisors (see below), whose sum is σ = 3610033090560. Its totient is φ = 1030934016000.

The previous prime is 2230212120259. The next prime is 2230212120343.

2230212120322 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22302121203222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230212120293 and 2230212120302.

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 31 ways as a sum of consecutive naturals, for example, 374633698 + ... + 374639650.

It is an arithmetic number, because the mean of its divisors is an integer number (56406767040).

Almost surely, 22230212120322 is an apocalyptic number.

2230212120322 is a deficient number, since it is larger than the sum of its proper divisors (1379820970238).

2230212120322 is a wasteful number, since it uses less digits than its factorization.

2230212120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179.

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 2230212120322 in words is "two trillion, two hundred thirty billion, two hundred twelve million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 29 31 58 62 101 202 899 1798 2063 2929 3131 4126 5858 5953 6262 11906 59827 63953 90799 119654 127906 172637 181598 184543 208363 345274 369086 416726 601253 1202506 1854637 3709274 5351747 6042527 6459253 10703494 12085054 12281039 12918506 17436337 18638843 24562078 34872674 37277686 187318337 356150131 374636674 380712209 540526447 712300262 761424418 1081052894 1240384939 2480769878 11040654061 22081308122 35971163231 38451933109 71942326462 76903866218 1115106060161 2230212120322