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2201122196 = 2271333118269
BaseRepresentation
bin1000001100110010…
…0111010110010100
312200101210121000022
42003030213112110
514001441402241
61002225404312
7105355141610
oct20314472624
95611717008
102201122196
11a2a526759
12515199698
13291035390
1416c490340
15cd38e54b
hex83327594

2201122196 has 48 divisors (see below), whose sum is σ = 4755461760. Its totient is φ = 868095360.

The previous prime is 2201122177. The next prime is 2201122201. The reversal of 2201122196 is 6912211022.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111350 + ... + 129618.

It is an arithmetic number, because the mean of its divisors is an integer number (99072120).

Almost surely, 22201122196 is an apocalyptic number.

2201122196 is a gapful number since it is divisible by the number (26) 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 2201122196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377730880).

2201122196 is an abundant number, since it is smaller than the sum of its proper divisors (2554339564).

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

2201122196 is a wasteful number, since it uses less digits than its factorization.

2201122196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18624 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2201122196 is about 46916.1187226736. The cubic root of 2201122196 is about 1300.8125484314.

The spelling of 2201122196 in words is "two billion, two hundred one million, one hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 331 364 662 1324 2317 4303 4634 8606 9268 17212 18269 30121 36538 60242 73076 120484 127883 237497 255766 474994 511532 949988 1662479 3324958 6047039 6649916 12094078 24188156 42329273 78611507 84658546 157223014 169317092 314446028 550280549 1100561098 2201122196