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2231319934896 = 2431331115349459
BaseRepresentation
bin100000011110000101000…
…010000011011110110000
321220022102112010002010020
4200132011002003132300
5243024220400404041
64425015414003440
7320131121336433
oct40360502033660
97808375102106
102231319934896
1179032aa296a8
12300540646580
131325495431b0
1479dd440981a
153d095da7866
hex207850837b0

2231319934896 has 80 divisors (see below), whose sum is σ = 6407893201920. Its totient is φ = 664412878080.

The previous prime is 2231319934859. The next prime is 2231319934979. The reversal of 2231319934896 is 6984399131322.

It is a super-3 number, since 3×22313199348963 (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57655386 + ... + 57694073.

It is an arithmetic number, because the mean of its divisors is an integer number (80098665024).

Almost surely, 22231319934896 is an apocalyptic number.

2231319934896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2231319934896 is an abundant number, since it is smaller than the sum of its proper divisors (4176573267024).

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

2231319934896 is a wasteful number, since it uses less digits than its factorization.

2231319934896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115349514 (or 115349508 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The spelling of 2231319934896 in words is "two trillion, two hundred thirty-one billion, three hundred nineteen million, nine hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 115349459 230698918 346048377 461397836 692096754 922795672 1384193508 1499542967 1845591344 2768387016 2999085934 3575833229 4498628901 5536774032 5998171868 7151666458 8997257802 10727499687 11996343736 14303332916 17994515604 21454999374 23992687472 28606665832 35989031208 42909998748 46485831977 57213331664 71978062416 85819997496 92971663954 139457495931 171639994992 185943327908 278914991862 371886655816 557829983724 743773311632 1115659967448 2231319934896