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2213728374 = 2311136797397
BaseRepresentation
bin1000001111110010…
…1101000001110110
312201021112001102210
42003330231001312
514013203301444
61003355514250
7105600244404
oct20374550166
95637461383
102213728374
11a36656990
12519458986
1329382a260
14170012474
15ce52e7b9
hex83f2d076

2213728374 has 128 divisors (see below), whose sum is σ = 5346980352. Its totient is φ = 602173440.

The previous prime is 2213728367. The next prime is 2213728379. The reversal of 2213728374 is 4738273122.

2213728374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213728379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5575944 + ... + 5576340.

It is an arithmetic number, because the mean of its divisors is an integer number (41773284).

Almost surely, 22213728374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213728374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673490176).

2213728374 is an abundant number, since it is smaller than the sum of its proper divisors (3133251978).

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

2213728374 is a wasteful number, since it uses less digits than its factorization.

2213728374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590.

The product of its digits is 112896, while the sum is 39.

The square root of 2213728374 is about 47050.2749620021. The cubic root of 2213728374 is about 1303.2911430029.

The spelling of 2213728374 in words is "two billion, two hundred thirteen million, seven hundred twenty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 97 134 143 194 201 286 291 397 402 429 582 737 794 858 871 1067 1191 1261 1474 1742 2134 2211 2382 2522 2613 3201 3783 4367 4422 5161 5226 6402 6499 7566 8734 9581 10322 12998 13101 13871 15483 19162 19497 26202 26599 27742 28743 30966 38509 38994 41613 53198 56771 57486 71489 77018 79797 83226 84487 113542 115527 142978 159594 168974 170313 214467 231054 253461 292589 340626 345787 423599 428934 500617 506922 585178 691574 847198 877767 929357 1001234 1037361 1270797 1501851 1755534 1858714 2074722 2541594 2580103 2788071 3003702 3803657 5160206 5506787 5576142 7607314 7740309 11013574 11410971 15480618 16520361 22821942 28381133 33040722 33541339 56762266 67082678 85143399 100624017 170286798 201248034 368954729 737909458 1106864187 2213728374