Search a number
-
+
22333675104 = 253513220933
BaseRepresentation
bin10100110011001100…
…001101011001100000
32010122110202020200000
4110303030031121200
5331214410100404
614132052100000
71420310051256
oct246314153140
963573666600
1022333675104
119520860734
1243b3604600
13214c010790
14111c1dc5d6
158aaa90339
hex53330d660

22333675104 has 144 divisors (see below), whose sum is σ = 70930418832. Its totient is φ = 6871868928.

The previous prime is 22333675087. The next prime is 22333675129. The reversal of 22333675104 is 40157633322.

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

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

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, 9379 + ... + 211554.

It is an arithmetic number, because the mean of its divisors is an integer number (492572353).

Almost surely, 222333675104 is an apocalyptic number.

22333675104 is a gapful number since it is divisible by the number (24) 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 22333675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35465209416).

22333675104 is an abundant number, since it is smaller than the sum of its proper divisors (48596743728).

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

22333675104 is a wasteful number, since it uses less digits than its factorization.

22333675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220971 (or 220951 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 22333675104 in words is "twenty-two billion, three hundred thirty-three million, six hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 50544 101088 220933 441866 662799 883732 1325598 1767464 1988397 2651196 2872129 3534928 3976794 5302392 5744258 5965191 7069856 7953588 8616387 10604784 11488516 11930382 15907176 17232774 17895573 21209568 22977032 23860764 25849161 31814352 34465548 35791146 45954064 47721528 51698322 53686719 63628704 68931096 71582292 77547483 91908128 95443056 103396644 107373438 137862192 143164584 155094966 190886112 206793288 214746876 232642449 275724384 286329168 310189932 413586576 429493752 465284898 572658336 620379864 697927347 827173152 858987504 930569796 1240759728 1395854694 1717975008 1861139592 2481519456 2791709388 3722279184 5583418776 7444558368 11166837552 22333675104