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2201022212200 = 235279711619113
BaseRepresentation
bin100000000001110111001…
…001011010100001101000
321210102020000121021222121
4200001313021122201220
5242030143141242300
64403045144401024
7315006245054410
oct40016711324150
97712200537877
102201022212200
117794a2727159
122b66a5a76174
1312c72b599a26
147875c621640
153c3c106e81a
hex2007725a868

2201022212200 has 96 divisors (see below), whose sum is σ = 5854457165760. Its totient is φ = 753858547200.

The previous prime is 2201022212197. The next prime is 2201022212203. The reversal of 2201022212200 is 22122201022.

It is an interprime number because it is at equal distance from previous prime (2201022212197) and next prime (2201022212203).

It is not an unprimeable number, because it can be changed into a prime (2201022212203) 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, 549844 + ... + 2168956.

It is an arithmetic number, because the mean of its divisors is an integer number (60983928810).

Almost surely, 22201022212200 is an apocalyptic number.

2201022212200 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 2201022212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927228582880).

2201022212200 is an abundant number, since it is smaller than the sum of its proper divisors (3653434953560).

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

2201022212200 is a wasteful number, since it uses less digits than its factorization.

2201022212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620107 (or 1620098 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2201022212200 its reverse (22122201022), we get a palindrome (2223144413222).

The spelling of 2201022212200 in words is "two trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 971 1400 1942 3884 4855 6797 7768 9710 13594 19420 24275 27188 33985 38840 48550 54376 67970 97100 135940 169925 194200 271880 339850 679700 1359400 1619113 3238226 6476452 8095565 11333791 12952904 16191130 22667582 32382260 40477825 45335164 56668955 64764520 80955650 90670328 113337910 161911300 226675820 283344775 323822600 453351640 566689550 1133379100 1572158723 2266758200 3144317446 6288634892 7860793615 11005111061 12577269784 15721587230 22010222122 31443174460 39303968075 44020444244 55025555305 62886348920 78607936150 88040888488 110051110610 157215872300 220102221220 275127776525 314431744600 440204442440 550255553050 1100511106100 2201022212200