Search a number
-
+
10000022022 = 23547894919
BaseRepresentation
bin10010101000000110…
…00011101000000110
3221210220210202100000
421110003003220012
5130440001201042
64332143102130
7502544533104
oct112403035006
927726722300
1010000022022
11427182a611
121b30ba1946
13c349c74c3
146ac16ac74
153d7db474c
hex2540c3a06

10000022022 has 96 divisors (see below), whose sum is σ = 23209804800. Its totient is φ = 3225106368.

The previous prime is 10000022017. The next prime is 10000022029. The reversal of 10000022022 is 22022000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000021995 and 10000022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000022029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030479 + ... + 2035397.

It is an arithmetic number, because the mean of its divisors is an integer number (241768800).

Almost surely, 210000022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604902400).

10000022022 is an abundant number, since it is smaller than the sum of its proper divisors (13209782778).

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

10000022022 is an equidigital number, since it uses as much as digits as its factorization.

10000022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10000022022 its reverse (22022000001), we get a palindrome (32022022023).

The spelling of 10000022022 in words is "ten billion, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 89 94 141 162 178 243 267 282 423 486 534 801 846 1269 1602 2403 2538 3807 4183 4806 4919 7209 7614 8366 9838 11421 12549 14418 14757 21627 22842 25098 29514 37647 43254 44271 75294 88542 112941 132813 225882 231193 265626 338823 398439 437791 462386 677646 693579 796878 875582 1016469 1195317 1313373 1387158 2032938 2080737 2390634 2626746 3940119 4161474 6242211 7880238 11820357 12484422 18726633 20576177 23640714 35461071 37453266 41152354 56179899 61728531 70922142 106383213 112359798 123457062 185185593 212766426 370371186 555556779 1111113558 1666670337 3333340674 5000011011 10000022022