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2122234415540 = 225769137986633
BaseRepresentation
bin11110111000011111000…
…001110100100110110100
321111212212011110112100122
4132320133001310212310
5234232314002244130
64302535132431112
7306216642615341
oct36703701644664
97455764415318
102122234415540
11749042001418
122a3378018498
1312518363cac5
1474a068717c8
153a30e1ec2e5
hex1ee1f0749b4

2122234415540 has 24 divisors (see below), whose sum is σ = 4462487743560. Its totient is φ = 847789867008.

The previous prime is 2122234415491. The next prime is 2122234415593. The reversal of 2122234415540 is 455144322212.

It can be written as a sum of positive squares in 4 ways, for example, as 420832448656 + 1701401966884 = 648716^2 + 1304378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122234415540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68977937 + ... + 69008696.

It is an arithmetic number, because the mean of its divisors is an integer number (185936989315).

Almost surely, 22122234415540 is an apocalyptic number.

2122234415540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122234415540 is an abundant number, since it is smaller than the sum of its proper divisors (2340253328020).

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

2122234415540 is a wasteful number, since it uses less digits than its factorization.

2122234415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137987411 (or 137987409 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 2122234415540 its reverse (455144322212), we get a palindrome (2577378737752).

The spelling of 2122234415540 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-four million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 15380 137986633 275973266 551946532 689933165 1379866330 2759732660 106111720777 212223441554 424446883108 530558603885 1061117207770 2122234415540