Search a number
-
+
22034100132 = 22321155641667
BaseRepresentation
bin10100100001010101…
…011010111110100100
32002212121001021001200
4110201111122332210
5330111212201012
614042231122500
71410011521662
oct244125327644
962777037050
1022034100132
119387747610
12432b213430
132101c31295
1410d04d9c32
1588e6173dc
hex52155afa4

22034100132 has 36 divisors (see below), whose sum is σ = 60760701456. Its totient is φ = 6676999920.

The previous prime is 22034100097. The next prime is 22034100149. The reversal of 22034100132 is 23100143022.

22034100132 is a `hidden beast` number, since 220 + 3 + 410 + 0 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 27820438 + ... + 27821229.

Almost surely, 222034100132 is an apocalyptic number.

22034100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22034100132 is an abundant number, since it is smaller than the sum of its proper divisors (38726601324).

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

22034100132 is a wasteful number, since it uses less digits than its factorization.

22034100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55641688 (or 55641683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22034100132 its reverse (23100143022), we get a palindrome (45134243154).

The spelling of 22034100132 in words is "twenty-two billion, thirty-four million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 55641667 111283334 166925001 222566668 333850002 500775003 612058337 667700004 1001550006 1224116674 1836175011 2003100012 2448233348 3672350022 5508525033 7344700044 11017050066 22034100132