Search a number
-
+
22132233200 = 2452711718579
BaseRepresentation
bin10100100111001011…
…110001001111110000
32010010102200221022202
4110213023301033300
5330311322430300
614100054322332
71412312610140
oct244713611760
963112627282
1022132233200
119428083420
1243580593a8
13211937009c
1410dd562920
1589804dad5
hex5272f13f0

22132233200 has 120 divisors (see below), whose sum is σ = 66293316480. Its totient is φ = 6898348800.

The previous prime is 22132233169. The next prime is 22132233269. The reversal of 22132233200 is 233223122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 328490 + ... + 390089.

It is an arithmetic number, because the mean of its divisors is an integer number (552444304).

Almost surely, 222132233200 is an apocalyptic number.

22132233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132233200 is an abundant number, since it is smaller than the sum of its proper divisors (44161083280).

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

22132233200 is a wasteful number, since it uses less digits than its factorization.

22132233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718615 (or 718604 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22132233200 its reverse (233223122), we get a palindrome (22365456322).

The spelling of 22132233200 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 718579 1437158 2874316 3592895 5030053 5748632 7185790 7904369 10060106 11497264 14371580 15808738 17964475 20120212 25150265 28743160 31617476 35928950 39521845 40240424 50300530 55330583 57486320 63234952 71857900 79043690 80480848 100601060 110661166 125751325 126469904 143715800 158087380 197609225 201202120 221322332 251502650 276652915 287431600 316174760 395218450 402404240 442644664 503005300 553305830 632349520 790436900 885289328 1006010600 1106611660 1383264575 1580873800 2012021200 2213223320 2766529150 3161747600 4426446640 5533058300 11066116600 22132233200