Search a number
-
+
22202231200 = 2552172370979
BaseRepresentation
bin10100101011010110…
…110010100110100000
32010022022102012112021
4110223112302212200
5330432232344300
614111034511224
71414122565012
oct245326624640
963268365467
1022202231200
119463642a06
124377595514
13212aa0aa16
1411089841b2
1589e278d1a
hex52b5b29a0

22202231200 has 144 divisors (see below), whose sum is σ = 59885542080. Its totient is φ = 7994961920.

The previous prime is 22202231197. The next prime is 22202231201. The reversal of 22202231200 is 213220222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22202231201) 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, 277311 + ... + 348289.

It is an arithmetic number, because the mean of its divisors is an integer number (415871820).

Almost surely, 222202231200 is an apocalyptic number.

22202231200 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 22202231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29942771040).

22202231200 is an abundant number, since it is smaller than the sum of its proper divisors (37683310880).

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

22202231200 is a wasteful number, since it uses less digits than its factorization.

22202231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71039 (or 71026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22202231200 its reverse (213220222), we get a palindrome (22415451422).

The spelling of 22202231200 in words is "twenty-two billion, two hundred two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 68 80 85 92 100 115 136 160 170 184 200 230 272 340 368 391 400 425 460 544 575 680 736 782 800 850 920 1150 1360 1564 1700 1840 1955 2300 2720 3128 3400 3680 3910 4600 6256 6800 7820 9200 9775 12512 13600 15640 18400 19550 31280 39100 62560 70979 78200 141958 156400 283916 312800 354895 567832 709790 1135664 1206643 1419580 1632517 1774475 2271328 2413286 2839160 3265034 3548950 4826572 5678320 6033215 6530068 7097900 8162585 9653144 11356640 12066430 13060136 14195800 16325170 19306288 24132860 26120272 27752789 28391600 30166075 32650340 38612576 40812925 48265720 52240544 55505578 56783200 60332150 65300680 81625850 96531440 111011156 120664300 130601360 138763945 163251700 193062880 222022312 241328600 261202720 277527890 326503400 444044624 482657200 555055780 653006800 693819725 888089248 965314400 1110111560 1306013600 1387639450 2220223120 2775278900 4440446240 5550557800 11101115600 22202231200