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2204742064 = 247219283523
BaseRepresentation
bin1000001101101001…
…1011000110110000
312200122121111112111
42003122123012300
514003403221224
61002435135104
7105430666300
oct20332330660
95618544474
102204742064
11a31579388
12516444494
13291a01c05
1416cb53600
15cd856d94
hex8369b1b0

2204742064 has 120 divisors (see below), whose sum is σ = 5259157440. Its totient is φ = 890289792.

The previous prime is 2204742049. The next prime is 2204742079. The reversal of 2204742064 is 4602474022.

It is an interprime number because it is at equal distance from previous prime (2204742049) and next prime (2204742079).

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, 4215307 + ... + 4215829.

It is an arithmetic number, because the mean of its divisors is an integer number (43826312).

Almost surely, 22204742064 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 2204742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629578720).

2204742064 is an abundant number, since it is smaller than the sum of its proper divisors (3054415376).

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

2204742064 is a wasteful number, since it uses less digits than its factorization.

2204742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 2204742064 is about 46954.6809594102. The cubic root of 2204742064 is about 1301.5252441046.

The spelling of 2204742064 in words is "two billion, two hundred four million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 283 304 392 523 532 566 784 931 1046 1064 1132 1862 1981 2092 2128 2264 3661 3724 3962 4184 4528 5377 7322 7448 7924 8368 9937 10754 13867 14644 14896 15848 19874 21508 25627 27734 29288 31696 37639 39748 43016 51254 55468 58576 69559 75278 79496 86032 102508 110936 139118 148009 150556 158992 205016 221872 263473 278236 296018 301112 410032 486913 526946 556472 592036 602224 973826 1036063 1053892 1112944 1184072 1947652 2072126 2107784 2368144 2812171 3895304 4144252 4215568 5624342 7252441 7790608 8288504 11248684 14504882 16577008 19685197 22497368 29009764 39370394 44994736 58019528 78740788 116039056 137796379 157481576 275592758 314963152 551185516 1102371032 2204742064