Search a number
-
+
20242200020 = 2257792636959
BaseRepresentation
bin10010110110100001…
…110111010111010100
31221020201021022012212
4102312201313113110
5312424000400040
613144340332552
71314422601260
oct226641672724
957221238185
1020242200020
118648215529
123b0b0a4158
131ba7918c63
14da05310a0
157d715dd65
hex4b68775d4

20242200020 has 96 divisors (see below), whose sum is σ = 49390387200. Its totient is φ = 6825297024.

The previous prime is 20242200007. The next prime is 20242200037. The reversal of 20242200020 is 2000224202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20242199968 and 20242200004.

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, 2905301 + ... + 2912259.

It is an arithmetic number, because the mean of its divisors is an integer number (514483200).

Almost surely, 220242200020 is an apocalyptic number.

20242200020 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 20242200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695193600).

20242200020 is an abundant number, since it is smaller than the sum of its proper divisors (29148187180).

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

20242200020 is a wasteful number, since it uses less digits than its factorization.

20242200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20242200020 its reverse (2000224202), we get a palindrome (22242424222).

The spelling of 20242200020 in words is "twenty billion, two hundred forty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 263 316 395 526 553 790 1052 1106 1315 1580 1841 2212 2630 2765 3682 5260 5530 6959 7364 9205 11060 13918 18410 20777 27836 34795 36820 41554 48713 69590 83108 97426 103885 139180 145439 194852 207770 243565 290878 415540 487130 549761 581756 727195 974260 1099522 1454390 1830217 2199044 2748805 2908780 3660434 3848327 5497610 7320868 7696654 9151085 10995220 12811519 15393308 18302170 19241635 25623038 36604340 38483270 51246076 64057595 76966540 128115190 144587143 256230380 289174286 578348572 722935715 1012110001 1445871430 2024220002 2891742860 4048440004 5060550005 10121100010 20242200020