Search a number
-
+
2212211212020 = 2232547261490687
BaseRepresentation
bin100000001100010010000…
…100000011111011110100
321211111002210200101020100
4200030102010003323310
5242221102032241040
64412135323434100
7315553441021215
oct40142204037364
97744083611210
102212211212020
11783214614347
122b88a9085930
131307c26c9794
147910064d40c
153c8284e3b30
hex20312103ef4

2212211212020 has 72 divisors (see below), whose sum is σ = 6853147951104. Its totient is φ = 577371434688.

The previous prime is 2212211212009. The next prime is 2212211212027. The reversal of 2212211212020 is 202121122122.

It is a happy number.

2212211212020 is a `hidden beast` number, since 221 + 2 + 211 + 212 + 0 + 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 = 2212211211984 and 2212211212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212211212027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130736884 + ... + 130753803.

It is an arithmetic number, because the mean of its divisors is an integer number (95182610432).

Almost surely, 22212211212020 is an apocalyptic number.

2212211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212211212020 is an abundant number, since it is smaller than the sum of its proper divisors (4640936739084).

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

2212211212020 is a wasteful number, since it uses less digits than its factorization.

2212211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261490749 (or 261490744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212211212020 its reverse (202121122122), we get a palindrome (2414332334142).

The spelling of 2212211212020 in words is "two trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 261490687 522981374 784472061 1045962748 1307453435 1568944122 2353416183 2614906870 3137888244 3922360305 4706832366 5229813740 7844720610 9413664732 11767080915 12290062289 15689441220 23534161830 24580124578 36870186867 47068323660 49160249156 61450311445 73740373734 110610560601 122900622890 147480747468 184350934335 221221121202 245801245780 368701868670 442442242404 553052803005 737403737340 1106105606010 2212211212020