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22101060464 = 2471634013019
BaseRepresentation
bin10100100101010100…
…110110101101110000
32010001021001012100222
4110211110312231300
5330230332413324
614053022232212
71411453625420
oct244524665560
963037035328
1022101060464
11941152192a
124349725668
132112a77392
1410d936a480
1589544255e
hex525536b70

22101060464 has 80 divisors (see below), whose sum is σ = 49377434880. Its totient is φ = 9387187200.

The previous prime is 22101060439. The next prime is 22101060467. The reversal of 22101060464 is 46406010122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101060467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7319147 + ... + 7322165.

It is an arithmetic number, because the mean of its divisors is an integer number (617217936).

Almost surely, 222101060464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101060464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688717440).

22101060464 is an abundant number, since it is smaller than the sum of its proper divisors (27276374416).

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

22101060464 is a wasteful number, since it uses less digits than its factorization.

22101060464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22101060464 its reverse (46406010122), we get a palindrome (68507070586).

The spelling of 22101060464 in words is "twenty-two billion, one hundred one million, sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 401 652 802 1141 1304 1604 2282 2608 2807 3019 3208 4564 5614 6038 6416 9128 11228 12076 18256 21133 22456 24152 42266 44912 48304 65363 84532 130726 169064 261452 338128 457541 492097 522904 915082 984194 1045808 1210619 1830164 1968388 2421238 3444679 3660328 3936776 4842476 6889358 7320656 7873552 8474333 9684952 13778716 16948666 19369904 27557432 33897332 55114864 67794664 135589328 197330897 394661794 789323588 1381316279 1578647176 2762632558 3157294352 5525265116 11050530232 22101060464