Search a number
-
+
22020313200 = 2435237495953
BaseRepresentation
bin10100100000100000…
…110101000001110000
32002211122002210221120
4110200200311001300
5330044200010300
614041015422240
71406453400564
oct244040650160
962748083846
1022020313200
11937a990256
124326684980
1320cc114b32
1410cc74b6a4
1588d2e23a0
hex520835070

22020313200 has 120 divisors (see below), whose sum is σ = 72444992688. Its totient is φ = 5713367040.

The previous prime is 22020313199. The next prime is 22020313219. The reversal of 22020313200 is 231302022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22020313200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203577 + ... + 292376.

Almost surely, 222020313200 is an apocalyptic number.

22020313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020313200 is an abundant number, since it is smaller than the sum of its proper divisors (50424679488).

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

22020313200 is a wasteful number, since it uses less digits than its factorization.

22020313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496011 (or 496000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22020313200 its reverse (231302022), we get a palindrome (22251615222).

The spelling of 22020313200 in words is "twenty-two billion, twenty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 495953 991906 1487859 1983812 2479765 2975718 3967624 4959530 5951436 7439295 7935248 9919060 11902872 12398825 14878590 18350261 19838120 23805744 24797650 29757180 36700522 37196475 39676240 49595300 55050783 59514360 73401044 74392950 91751305 99190600 110101566 119028720 146802088 148785900 183502610 198381200 220203132 275253915 293604176 297571800 367005220 440406264 458756525 550507830 595143600 734010440 880812528 917513050 1101015660 1376269575 1468020880 1835026100 2202031320 2752539150 3670052200 4404062640 5505078300 7340104400 11010156600 22020313200