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2123222141432 = 237972291706869
BaseRepresentation
bin11110111001011001111…
…001101100100111111000
321111222102000001012120002
4132321121321230213320
5234241324332011212
64303221135052132
7306253265265560
oct36713171544770
97458360035502
102123222141432
117494a9601507
122a35b2971048
131252b01702b2
1474a9bb05da0
153a36aca6ac2
hex1ee59e6c9f8

2123222141432 has 64 divisors (see below), whose sum is σ = 4616741976000. Its totient is φ = 896638242816.

The previous prime is 2123222141401. The next prime is 2123222141483. The reversal of 2123222141432 is 2341412223212.

It is a super-2 number, since 2×21232221414322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123222141395 and 2123222141404.

It is a congruent number.

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, 390494 + ... + 2097362.

It is an arithmetic number, because the mean of its divisors is an integer number (72136593375).

Almost surely, 22123222141432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123222141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308370988000).

2123222141432 is an abundant number, since it is smaller than the sum of its proper divisors (2493519834568).

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

2123222141432 is a wasteful number, since it uses less digits than its factorization.

2123222141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707208 (or 1707204 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 2123222141432 its reverse (2341412223212), we get a palindrome (4464634364644).

The spelling of 2123222141432 in words is "two trillion, one hundred twenty-three billion, two hundred twenty-two million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 97 194 229 388 458 679 776 916 1358 1603 1832 2716 3206 5432 6412 12824 22213 44426 88852 155491 177704 310982 621964 1243928 1706869 3413738 6827476 11948083 13654952 23896166 47792332 95584664 165566293 331132586 390873001 662265172 781746002 1158964051 1324530344 1563492004 2317928102 2736111007 3126984008 4635856204 5472222014 9271712408 10944444028 21888888056 37914681097 75829362194 151658724388 265402767679 303317448776 530805535358 1061611070716 2123222141432