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2202213104 = 247138318223
BaseRepresentation
bin1000001101000011…
…0001101011110000
312200110212000110022
42003100301223300
514002231304404
61002305023012
7105400334240
oct20320615360
95613760408
102202213104
11a30101333
12515624a68
13291327aa0
1416c695b20
15cd5078be
hex83431af0

2202213104 has 80 divisors (see below), whose sum is σ = 5314993152. Its totient is φ = 860661504.

The previous prime is 2202213103. The next prime is 2202213149. The reversal of 2202213104 is 4013122022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202213103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111737 + ... + 129959.

Almost surely, 22202213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657496576).

2202213104 is an abundant number, since it is smaller than the sum of its proper divisors (3112780048).

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

2202213104 is a wasteful number, since it uses less digits than its factorization.

2202213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18334 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2202213104 is about 46927.7434360528. The cubic root of 2202213104 is about 1301.0274134437.

Adding to 2202213104 its reverse (4013122022), we get a palindrome (6215335126).

The spelling of 2202213104 in words is "two billion, two hundred two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1079 1162 1328 1456 2158 2324 4316 4648 7553 8632 9296 15106 17264 18223 30212 36446 60424 72892 120848 127561 145784 236899 255122 291568 473798 510244 947596 1020488 1512509 1658293 1895192 2040976 3025018 3316586 3790384 6050036 6633172 10587563 12100072 13266344 19662617 21175126 24200144 26532688 39325234 42350252 78650468 84700504 137638319 157300936 169401008 275276638 314601872 550553276 1101106552 2202213104