Search a number
-
+
22145504000 = 28532330089
BaseRepresentation
bin10100100111111110…
…011001001100000000
32010011100200011102212
4110213332121030000
5330323222112000
614101251001252
71412533451414
oct244776311400
963140604385
1022145504000
119434617a24
124360599228
13211c038629
141101218d44
158992c0c35
hex527f99300

22145504000 has 144 divisors (see below), whose sum is σ = 57567706560. Its totient is φ = 8472780800.

The previous prime is 22145503999. The next prime is 22145504021. The reversal of 22145504000 is 40554122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720956 + ... + 751044.

It is an arithmetic number, because the mean of its divisors is an integer number (399775740).

Almost surely, 222145504000 is an apocalyptic number.

22145504000 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 22145504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783853280).

22145504000 is an abundant number, since it is smaller than the sum of its proper divisors (35422202560).

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

22145504000 is an equidigital number, since it uses as much as digits as its factorization.

22145504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30143 (or 30119 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 22145504000 in words is "twenty-two billion, one hundred forty-five million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 575 640 736 800 920 1000 1150 1280 1472 1600 1840 2000 2300 2875 2944 3200 3680 4000 4600 5750 5888 6400 7360 8000 9200 11500 14720 16000 18400 23000 29440 30089 32000 36800 46000 60178 73600 92000 120356 147200 150445 184000 240712 300890 368000 481424 601780 692047 736000 752225 962848 1203560 1384094 1504450 1925696 2407120 2768188 3008900 3460235 3761125 3851392 4814240 5536376 6017800 6920470 7522250 7702784 9628480 11072752 12035600 13840940 15044500 17301175 19256960 22145504 24071200 27681880 30089000 34602350 38513920 44291008 48142400 55363760 60178000 69204700 86505875 88582016 96284800 110727520 120356000 138409400 173011750 177164032 192569600 221455040 240712000 276818800 346023500 442910080 481424000 553637600 692047000 885820160 962848000 1107275200 1384094000 2214550400 2768188000 4429100800 5536376000 11072752000 22145504000