Search a number
-
+
22140723432 = 23317834211553
BaseRepresentation
bin10100100111101100…
…001010000011101000
32010011000200021201210
4110213230022003220
5330321011122212
614101000313120
71412445021042
oct244754120350
963130607653
1022140723432
119431952243
12435aa727a0
13211b0536a9
141100732a92
15898b7953c
hex527b0a0e8

22140723432 has 128 divisors (see below), whose sum is σ = 59493087360. Its totient is φ = 6841712640.

The previous prime is 22140723403. The next prime is 22140723433. The reversal of 22140723432 is 23432704122.

It is a self number, because there is not a number n which added to its sum of digits gives 22140723432.

It is not an unprimeable number, because it can be changed into a prime (22140723433) 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, 14255968 + ... + 14257520.

It is an arithmetic number, because the mean of its divisors is an integer number (464789745).

Almost surely, 222140723432 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 22140723432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29746543680).

22140723432 is an abundant number, since it is smaller than the sum of its proper divisors (37352363928).

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

22140723432 is a wasteful number, since it uses less digits than its factorization.

22140723432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 22140723432 in words is "twenty-two billion, one hundred forty million, seven hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 421 498 664 842 996 1263 1411 1553 1684 1992 2526 2822 3106 3368 4233 4659 5052 5644 6212 7157 8466 9318 10104 11288 12424 14314 16932 18636 21471 26401 28628 33864 34943 37272 42942 52802 57256 69886 79203 85884 104829 105604 128899 139772 158406 171768 209658 211208 257798 279544 316812 386697 419316 515596 594031 633624 653813 773394 838632 1031192 1188062 1307626 1546788 1782093 1961439 2191283 2376124 2615252 3093576 3564186 3922878 4382566 4752248 5230504 6573849 7128372 7845756 8765132 11114821 13147698 14256744 15691512 17530264 22229642 26295396 33344463 44459284 52590792 54266479 66688926 88918568 108532958 133377852 162799437 217065916 266755704 325598874 434131832 651197748 922530143 1302395496 1845060286 2767590429 3690120572 5535180858 7380241144 11070361716 22140723432