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2273635644 = 2237371017243
BaseRepresentation
bin1000011110000100…
…1110110100111100
312212110020122202120
42013201032310330
514124022320034
61013335522540
7110225404230
oct20741166474
95773218676
102273635644
11a67454125
12535529450
132a3073c47
14177d685c0
15d4914c49
hex8784ed3c

2273635644 has 96 divisors (see below), whose sum is σ = 6289414656. Its totient is φ = 625708800.

The previous prime is 2273635633. The next prime is 2273635717. The reversal of 2273635644 is 4465363722.

2273635644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2273635596 and 2273635605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310287 + ... + 317529.

It is an arithmetic number, because the mean of its divisors is an integer number (65514736).

Almost surely, 22273635644 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 2273635644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144707328).

2273635644 is an abundant number, since it is smaller than the sum of its proper divisors (4015779012).

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

2273635644 is a wasteful number, since it uses less digits than its factorization.

2273635644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7393 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 2273635644 is about 47682.6555887987. The cubic root of 2273635644 is about 1314.9430874567.

The spelling of 2273635644 in words is "two billion, two hundred seventy-three million, six hundred thirty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 101 111 148 202 222 259 303 404 444 518 606 707 777 1036 1212 1414 1554 2121 2828 3108 3737 4242 7243 7474 8484 11211 14486 14948 21729 22422 26159 28972 43458 44844 50701 52318 78477 86916 101402 104636 152103 156954 202804 267991 304206 313908 535982 608412 731543 803973 1071964 1463086 1607946 1875937 2194629 2926172 3215892 3751874 4389258 5120801 5627811 7503748 8778516 10241602 11255622 15362403 20483204 22511244 27067091 30724806 54134182 61449612 81201273 108268364 162402546 189469637 324805092 378939274 568408911 757878548 1136817822 2273635644