Search a number
-
+
22212132020 = 225131911339791
BaseRepresentation
bin10100101011111100…
…100011110010110100
32010100000001012220022
4110223330203302310
5330442301211040
614112031024312
71414303002251
oct245374436264
963300035808
1022212132020
119469195601
12437a96b098
13212ca963b0
14110a000428
158a00826b5
hex52bf23cb4

22212132020 has 96 divisors (see below), whose sum is σ = 53346746880. Its totient is φ = 7700797440.

The previous prime is 22212132011. The next prime is 22212132083. The reversal of 22212132020 is 2023121222.

It is a self number, because there is not a number n which added to its sum of digits gives 22212132020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538325 + ... + 578115.

It is an arithmetic number, because the mean of its divisors is an integer number (555695280).

Almost surely, 222212132020 is an apocalyptic number.

22212132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673373440).

22212132020 is an abundant number, since it is smaller than the sum of its proper divisors (31134614860).

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

22212132020 is a wasteful number, since it uses less digits than its factorization.

22212132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39945 (or 39943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22212132020 its reverse (2023121222), we get a palindrome (24235253242).

The spelling of 22212132020 in words is "twenty-two billion, two hundred twelve million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 113 130 190 226 247 260 380 452 494 565 988 1130 1235 1469 2147 2260 2470 2938 4294 4940 5876 7345 8588 10735 14690 21470 27911 29380 39791 42940 55822 79582 111644 139555 159164 198955 279110 397910 517283 558220 756029 795820 1034566 1512058 2069132 2586415 3024116 3780145 4496383 5172830 7560290 8992766 9828377 10345660 15120580 17985532 19656754 22481915 39313508 44963830 49141885 58452979 85431277 89927660 98283770 116905958 170862554 196567540 233811916 292264895 341725108 427156385 584529790 854312770 1110606601 1169059580 1708625540 2221213202 4442426404 5553033005 11106066010 22212132020