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22132026264 = 2333790727479
BaseRepresentation
bin10100100111001010…
…111110101110011000
32010010102022102110110
4110213022332232120
5330311244320024
614100050044320
71412311055625
oct244712765630
963112272413
1022132026264
119427a519a7
124357b796a0
1321192c9b3a
1410dd50b34c
1589800c629
hex5272beb98

22132026264 has 64 divisors (see below), whose sum is σ = 56890195200. Its totient is φ = 7169779584.

The previous prime is 22132026263. The next prime is 22132026271. The reversal of 22132026264 is 46262023122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132026263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 791677 + ... + 819155.

It is an arithmetic number, because the mean of its divisors is an integer number (888909300).

Almost surely, 222132026264 is an apocalyptic number.

22132026264 is a gapful number since it is divisible by the number (24) 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 22132026264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445097600).

22132026264 is an abundant number, since it is smaller than the sum of its proper divisors (34758168936).

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

22132026264 is a wasteful number, since it uses less digits than its factorization.

22132026264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28432 (or 28428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22132026264 its reverse (46262023122), we get a palindrome (68394049386).

The spelling of 22132026264 in words is "twenty-two billion, one hundred thirty-two million, twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 907 1814 2721 3628 5442 7256 10884 21768 27479 33559 54958 67118 82437 100677 109916 134236 164874 201354 219832 268472 329748 402708 659496 805416 1016723 2033446 3050169 4066892 6100338 8133784 12200676 24401352 24923453 49846906 74770359 99693812 149540718 199387624 299081436 598162872 922167761 1844335522 2766503283 3688671044 5533006566 7377342088 11066013132 22132026264