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2226205700 = 225241599203
BaseRepresentation
bin1000010010110001…
…0011010000000100
312202010222222002222
42010230103100010
514024402040300
61004523151512
7106111302425
oct20454232004
95663888088
102226205700
11a426a9324
12521675598
132962a85a4
1417193d64c
15d0696785
hex84b13404

2226205700 has 72 divisors (see below), whose sum is σ = 5033115360. Its totient is φ = 853945600.

The previous prime is 2226205649. The next prime is 2226205711. The reversal of 2226205700 is 75026222.

It is a super-3 number, since 3×22262057003 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2226205700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237299 + ... + 246501.

It is an arithmetic number, because the mean of its divisors is an integer number (69904380).

Almost surely, 22226205700 is an apocalyptic number.

2226205700 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 2226205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516557680).

2226205700 is an abundant number, since it is smaller than the sum of its proper divisors (2806909660).

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

2226205700 is a wasteful number, since it uses less digits than its factorization.

2226205700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2226205700 is about 47182.6843238068. The cubic root of 2226205700 is about 1305.7351543544.

The spelling of 2226205700 in words is "two billion, two hundred twenty-six million, two hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 4100 4838 5900 9203 9676 12095 18406 24190 36812 46015 48380 60475 92030 120950 184060 230075 241900 377323 460150 542977 754646 920300 1085954 1509292 1886615 2171908 2714885 3773230 5429770 7546460 9433075 10859540 13574425 18866150 22262057 27148850 37732300 44524114 54297700 89048228 111310285 222620570 445241140 556551425 1113102850 2226205700