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2122342020 = 2233523170881
BaseRepresentation
bin111111010000000…
…0101111010000100
312110220120010221000
41332200011322010
513321304421040
6550333053300
7103410416031
oct17640057204
95426503830
102122342020
1199a008a77
124b2927230
1327a9112a6
14161c24388
15c64cc130
hex7e805e84

2122342020 has 96 divisors (see below), whose sum is σ = 6889962240. Its totient is φ = 541347840.

The previous prime is 2122341983. The next prime is 2122342021. The reversal of 2122342020 is 202432212.

2122342020 is a `hidden beast` number, since 2 + 1 + 223 + 420 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122341984 and 2122342002.

It is not an unprimeable number, because it can be changed into a prime (2122342021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73021 + ... + 97860.

It is an arithmetic number, because the mean of its divisors is an integer number (71770440).

Almost surely, 22122342020 is an apocalyptic number.

2122342020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122342020 is an abundant number, since it is smaller than the sum of its proper divisors (4767620220).

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

2122342020 is a wasteful number, since it uses less digits than its factorization.

2122342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170922 (or 170914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122342020 is about 46068.8834247152. The cubic root of 2122342020 is about 1285.1045391290.

Adding to 2122342020 its reverse (202432212), we get a palindrome (2324774232).

The spelling of 2122342020 in words is "two billion, one hundred twenty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 170881 341762 512643 683524 854405 1025286 1537929 1708810 2050572 2563215 3075858 3417620 3930263 4613787 5126430 6151716 7689645 7860526 9227574 10252860 11790789 15379290 15721052 18455148 19651315 23068935 23581578 30758580 35372367 39302630 46137870 47163156 58953945 70744734 78605260 92275740 106117101 117907890 141489468 176861835 212234202 235815780 353723670 424468404 530585505 707447340 1061171010 2122342020