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22352032340 = 22511227113407
BaseRepresentation
bin10100110100010010…
…001111001001010100
32010200202021220001122
4110310102033021110
5331234110013330
614133545343112
71420622066021
oct246422171124
963622256048
1022352032340
119530159800
1243b9797a98
132152a6a251
14112081a548
158ac4b95e5
hex53448f254

22352032340 has 72 divisors (see below), whose sum is σ = 51628582656. Its totient is φ = 8122628800.

The previous prime is 22352032309. The next prime is 22352032343. The reversal of 22352032340 is 4323025322.

It is a super-2 number, since 2×223520323402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22352032343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6558917 + ... + 6562323.

It is an arithmetic number, because the mean of its divisors is an integer number (717063648).

Almost surely, 222352032340 is an apocalyptic number.

22352032340 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 22352032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814291328).

22352032340 is an abundant number, since it is smaller than the sum of its proper divisors (29276550316).

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

22352032340 is a wasteful number, since it uses less digits than its factorization.

22352032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 22352032340 its reverse (4323025322), we get a palindrome (26675057662).

The spelling of 22352032340 in words is "twenty-two billion, three hundred fifty-two million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2711 3407 5422 6814 10844 13555 13628 17035 27110 29821 34070 37477 54220 59642 68140 74954 119284 149105 149908 187385 298210 328031 374770 412247 596420 656062 749540 824494 1312124 1640155 1648988 2061235 3280310 4122470 6560620 8244940 9236377 18472754 36945508 46181885 92363770 101600147 184727540 203200294 406400588 508000735 1016001470 1117601617 2032002940 2235203234 4470406468 5588008085 11176016170 22352032340