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2220012212232 = 2337946111932129
BaseRepresentation
bin100000010011100011000…
…010100001000000001000
321212020020110122020202010
4200103203002201000020
5242333041111242412
64415505354135520
7316250654311113
oct40234302410010
97766213566663
102220012212232
11786558022261
122ba3057215a0
13131466945939
147964071557a
153cb332d133c
hex204e30a1008

2220012212232 has 128 divisors (see below), whose sum is σ = 5639844672000. Its totient is φ = 728098775040.

The previous prime is 2220012212147. The next prime is 2220012212251. The reversal of 2220012212232 is 2322122100222.

It is a super-2 number, since 2×22200122122322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220012212199 and 2220012212208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042747744 + ... + 1042749872.

It is an arithmetic number, because the mean of its divisors is an integer number (44061286500).

Almost surely, 22220012212232 is an apocalyptic number.

It is an amenable number.

2220012212232 is an abundant number, since it is smaller than the sum of its proper divisors (3419832459768).

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

2220012212232 is a wasteful number, since it uses less digits than its factorization.

2220012212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2220012212232 its reverse (2322122100222), we get a palindrome (4542134312454).

The spelling of 2220012212232 in words is "two trillion, two hundred twenty billion, twelve million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 461 474 632 922 948 1193 1383 1844 1896 2129 2386 2766 3579 3688 4258 4772 5532 6387 7158 8516 9544 11064 12774 14316 17032 25548 28632 36419 51096 72838 94247 109257 145676 168191 188494 218514 282741 291352 336382 376988 437028 504573 549973 565482 672764 753976 874056 981469 1009146 1099946 1130964 1345528 1649919 1962938 2018292 2199892 2261928 2539897 2944407 3299838 3925876 4036584 4399784 5079794 5888814 6599676 7619691 7851752 10159588 11777628 13199352 15239382 20319176 23555256 30478764 43447867 60957528 77536051 86895734 130343601 155072102 173791468 200651863 232608153 260687202 310144204 347582936 401303726 465216306 521374404 601955589 620288408 802607452 930432612 1042748808 1170892517 1203911178 1605214904 1860865224 2341785034 2407822356 3512677551 4683570068 4815644712 7025355102 9367140136 14050710204 28101420408 92500508843 185001017686 277501526529 370002035372 555003053058 740004070744 1110006106116 2220012212232