Search a number
-
+
22312306656 = 253519914419
BaseRepresentation
bin10100110001111010…
…101100011111100000
32010120222112121200000
4110301322230133200
5331143422303111
614130010100000
71416630322503
oct246172543740
963528477600
1022312306656
11950a796262
1243a841a600
13214776b523
14111943913a
158a8c6dc56
hex531eac7e0

22312306656 has 144 divisors (see below), whose sum is σ = 66135888000. Its totient is φ = 7399548288.

The previous prime is 22312306603. The next prime is 22312306661. The reversal of 22312306656 is 65660321322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×223123066563 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22312306656.

It is a congruent number.

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, 1540215 + ... + 1554633.

It is an arithmetic number, because the mean of its divisors is an integer number (459277000).

Almost surely, 222312306656 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 22312306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067944000).

22312306656 is an abundant number, since it is smaller than the sum of its proper divisors (43823581344).

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

22312306656 is a wasteful number, since it uses less digits than its factorization.

22312306656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14623 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 22312306656 its reverse (65660321322), we get a palindrome (87972627978).

The spelling of 22312306656 in words is "twenty-two billion, three hundred twelve million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 243 288 324 398 432 486 597 648 796 864 972 1194 1296 1592 1791 1944 2388 2592 3184 3582 3888 4776 5373 6368 7164 7776 9552 10746 14328 14419 16119 19104 21492 28656 28838 32238 42984 43257 48357 57312 57676 64476 85968 86514 96714 115352 128952 129771 171936 173028 193428 230704 257904 259542 346056 386856 389313 461408 515808 519084 692112 773712 778626 1038168 1167939 1384224 1547424 1557252 2076336 2335878 2869381 3114504 3503817 4152672 4671756 5738762 6229008 7007634 8608143 9343512 11477524 12458016 14015268 17216286 18687024 22955048 25824429 28030536 34432572 37374048 45910096 51648858 56061072 68865144 77473287 91820192 103297716 112122144 137730288 154946574 206595432 232419861 275460576 309893148 413190864 464839722 619786296 697259583 826381728 929679444 1239572592 1394519166 1859358888 2479145184 2789038332 3718717776 5578076664 7437435552 11156153328 22312306656