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2140223313332 = 2213293136177349
BaseRepresentation
bin11111001001001111010…
…000000001010110110100
321120121021211202020000102
4133021033100001112310
5240031134132011312
64315112141133232
7310424505000446
oct37111720012664
97517254666012
102140223313332
117557332a05a5
122a695855a218
13126a8c483c20
1475831a0c496
153aa13610ec2
hex1f24f4015b4

2140223313332 has 96 divisors (see below), whose sum is σ = 4193269668000. Its totient is φ = 949016420352.

The previous prime is 2140223313331. The next prime is 2140223313341. The reversal of 2140223313332 is 2333133220412.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1765294878736 + 374928434596 = 1328644^2 + 612314^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 2140223313295 and 2140223313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140223313331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 291222794 + ... + 291230142.

It is an arithmetic number, because the mean of its divisors is an integer number (43679892375).

Almost surely, 22140223313332 is an apocalyptic number.

It is an amenable number.

2140223313332 is a deficient number, since it is larger than the sum of its proper divisors (2053046354668).

2140223313332 is a wasteful number, since it uses less digits than its factorization.

2140223313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 2140223313332 its reverse (2333133220412), we get a palindrome (4473356533744).

The spelling of 2140223313332 in words is "two trillion, one hundred forty billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 29 52 58 116 313 377 617 626 754 1234 1252 1508 2468 4069 7349 8021 8138 9077 14698 16042 16276 17893 18154 29396 32084 35786 36308 71572 95537 118001 191074 193121 213121 232609 236002 382148 386242 426242 465218 472004 772484 852484 930436 2300237 2510573 2770573 4534333 4600474 5021146 5541146 5600509 9068666 9200948 10042292 11082292 11201018 18137332 22402036 29903081 58946329 59806162 66706873 72806617 117892658 119612324 131495657 133413746 145613234 235785316 262991314 266827492 291226468 525982628 867189349 1419246229 1709443541 1734378698 2838492458 3418887082 3468757396 5676984916 6837774164 18450200977 36900401954 41158140641 73800803908 82316281282 164632562564 535055828333 1070111656666 2140223313332