Search a number
-
+
2229911376 = 243711896779
BaseRepresentation
bin1000010011101001…
…1011111101010000
312202101222020100020
42010322123331100
514031324131001
61005134423440
7106154635230
oct20472337520
95671866306
102229911376
11a447aa470
12522961b80
13296ca51b4
14172225cc0
15d0b79736
hex84e9bf50

2229911376 has 160 divisors (see below), whose sum is σ = 7263820800. Its totient is φ = 572605440.

The previous prime is 2229911371. The next prime is 2229911393. The reversal of 2229911376 is 6731199222.

2229911376 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229911371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325555 + ... + 332333.

It is an arithmetic number, because the mean of its divisors is an integer number (45398880).

Almost surely, 22229911376 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 2229911376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631910400).

2229911376 is an abundant number, since it is smaller than the sum of its proper divisors (5033909424).

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

2229911376 is a wasteful number, since it uses less digits than its factorization.

2229911376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6891 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 2229911376 is about 47221.9374443701. The cubic root of 2229911376 is about 1306.4592487416.

The spelling of 2229911376 in words is "two billion, two hundred twenty-nine million, nine hundred eleven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 89 112 132 154 168 176 178 231 264 267 308 336 356 462 528 534 616 623 712 924 979 1068 1232 1246 1424 1848 1869 1958 2136 2492 2937 3696 3738 3916 4272 4984 5874 6779 6853 7476 7832 9968 11748 13558 13706 14952 15664 20337 20559 23496 27116 27412 29904 40674 41118 46992 47453 54232 54824 74569 81348 82236 94906 108464 109648 142359 149138 162696 164472 189812 223707 284718 298276 325392 328944 379624 447414 521983 569436 596552 603331 759248 894828 1043966 1138872 1193104 1206662 1565949 1789656 1809993 2087932 2277744 2413324 3131898 3579312 3619986 4175864 4223317 4826648 6263796 6636641 7239972 8351728 8446634 9653296 12527592 12669951 13273282 14479944 16893268 19909923 25055184 25339902 26546564 28959888 33786536 39819846 46456487 50679804 53093128 67573072 79639692 92912974 101359608 106186256 139369461 159279384 185825948 202719216 278738922 318558768 371651896 557477844 743303792 1114955688 2229911376