Search a number
-
+
22315343100 = 2235274384477
BaseRepresentation
bin10100110010000110…
…010001110011111100
32010121012020212212220
4110302012101303330
5331200211434400
614130155125340
71416665200221
oct246206216374
963535225786
1022315343100
11951147a616
1243a9443850
13214829263b
1411199c9948
158a916d7a0
hex532191cfc

22315343100 has 36 divisors (see below), whose sum is σ = 64565726904. Its totient is φ = 5950758080.

The previous prime is 22315343093. The next prime is 22315343111. The reversal of 22315343100 is 134351322.

It is a super-3 number, since 3×223153431003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37191939 + ... + 37192538.

It is an arithmetic number, because the mean of its divisors is an integer number (1793492414).

Almost surely, 222315343100 is an apocalyptic number.

22315343100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22315343100 is an abundant number, since it is smaller than the sum of its proper divisors (42250383804).

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

22315343100 is a wasteful number, since it uses less digits than its factorization.

22315343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74384494 (or 74384487 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 22315343100 its reverse (134351322), we get a palindrome (22449694422).

The spelling of 22315343100 in words is "twenty-two billion, three hundred fifteen million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 74384477 148768954 223153431 297537908 371922385 446306862 743844770 892613724 1115767155 1487689540 1859611925 2231534310 3719223850 4463068620 5578835775 7438447700 11157671550 22315343100