Search a number
-
+
22213030340 = 2251925358049
BaseRepresentation
bin10100101011111111…
…111111000111000100
32010100001201212011102
4110223333333013010
5330443013432330
614112102155232
71414313433254
oct245377770704
963301655142
1022213030340
119469749516
12437b122b18
13213001c247
14110a195964
158a01ad945
hex52bfff1c4

22213030340 has 72 divisors (see below), whose sum is σ = 50161469400. Its totient is φ = 8258605056.

The previous prime is 22213030339. The next prime is 22213030373. The reversal of 22213030340 is 4303031222.

It can be written as a sum of positive squares in 4 ways, for example, as 6181418884 + 16031611456 = 78622^2 + 126616^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353636 + ... + 411684.

It is an arithmetic number, because the mean of its divisors is an integer number (696687075).

Almost surely, 222213030340 is an apocalyptic number.

22213030340 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 22213030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080734700).

22213030340 is an abundant number, since it is smaller than the sum of its proper divisors (27948439060).

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

22213030340 is a wasteful number, since it uses less digits than its factorization.

22213030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58149 (or 58128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22213030340 its reverse (4303031222), we get a palindrome (26516061562).

The spelling of 22213030340 in words is "twenty-two billion, two hundred thirteen million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 361 380 530 722 1007 1060 1444 1805 2014 3610 4028 5035 7220 10070 19133 20140 38266 58049 76532 95665 116098 191330 232196 290245 382660 580490 1102931 1160980 2205862 3076597 4411724 5514655 6153194 11029310 12306388 15382985 20955689 22058620 30765970 41911378 58455343 61531940 83822756 104778445 116910686 209556890 233821372 292276715 419113780 584553430 1110651517 1169106860 2221303034 4442606068 5553257585 11106515170 22213030340