Search a number
-
+
22242134040 = 2335779733223
BaseRepresentation
bin10100101101101111…
…000000100000011000
32010102002111110221020
4110231233000200120
5331022441242130
614115022042440
71415116006560
oct245557004030
963362443836
1022242134040
119484117565
124388a19420
13213606c279
14110ddadda0
158a2a0be10
hex52dbc0818

22242134040 has 128 divisors (see below), whose sum is σ = 76356725760. Its totient is φ = 5077384704.

The previous prime is 22242134039. The next prime is 22242134053. The reversal of 22242134040 is 4043124222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22242134040.

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, 652869 + ... + 686091.

It is an arithmetic number, because the mean of its divisors is an integer number (596536920).

Almost surely, 222242134040 is an apocalyptic number.

22242134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38178362880).

22242134040 is an abundant number, since it is smaller than the sum of its proper divisors (54114591720).

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

22242134040 is a wasteful number, since it uses less digits than its factorization.

22242134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34041 (or 34037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22242134040 its reverse (4043124222), we get a palindrome (26285258262).

The spelling of 22242134040 in words is "twenty-two billion, two hundred forty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 797 840 1594 2391 3188 3985 4782 5579 6376 7970 9564 11158 11955 15940 16737 19128 22316 23910 27895 31880 33223 33474 44632 47820 55790 66446 66948 83685 95640 99669 111580 132892 133896 166115 167370 199338 223160 232561 265784 332230 334740 398676 465122 498345 664460 669480 697683 797352 930244 996690 1162805 1328920 1395366 1860488 1993380 2325610 2790732 3488415 3986760 4651220 5581464 6976830 9302440 13953660 26478731 27907320 52957462 79436193 105914924 132393655 158872386 185351117 211829848 264787310 317744772 370702234 397180965 529574620 556053351 635489544 741404468 794361930 926755585 1059149240 1112106702 1482808936 1588723860 1853511170 2224213404 2780266755 3177447720 3707022340 4448426808 5560533510 7414044680 11121067020 22242134040