Search a number
-
+
22402022200 = 23521910158369
BaseRepresentation
bin10100110111010000…
…111011101100111000
32010211020100122020221
4110313100323230320
5331334404202300
614142533025424
71422100022035
oct246720735470
963736318227
1022402022200
1195563a2938
124412485274
132160220b4c
14112731038c
158b1a9131a
hex53743bb38

22402022200 has 96 divisors (see below), whose sum is σ = 55369782000. Its totient is φ = 8404992000.

The previous prime is 22402022191. The next prime is 22402022207. The reversal of 22402022200 is 222020422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402022207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354616 + ... + 412984.

Almost surely, 222402022200 is an apocalyptic number.

22402022200 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 22402022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27684891000).

22402022200 is an abundant number, since it is smaller than the sum of its proper divisors (32967759800).

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

22402022200 is a wasteful number, since it uses less digits than its factorization.

22402022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58505 (or 58496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22402022200 its reverse (222020422), we get a palindrome (22624042622).

The spelling of 22402022200 in words is "twenty-two billion, four hundred two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 152 190 200 202 380 404 475 505 760 808 950 1010 1900 1919 2020 2525 3800 3838 4040 5050 7676 9595 10100 15352 19190 20200 38380 47975 58369 76760 95950 116738 191900 233476 291845 383800 466952 583690 1109011 1167380 1459225 2218022 2334760 2918450 4436044 5545055 5836900 5895269 8872088 11090110 11673800 11790538 22180220 23581076 27725275 29476345 44360440 47162152 55450550 58952690 110901100 112010111 117905380 147381725 221802200 224020222 235810760 294763450 448040444 560050555 589526900 896080888 1120101110 1179053800 2240202220 2800252775 4480404440 5600505550 11201011100 22402022200