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22132210200 = 23352109338413
BaseRepresentation
bin10100100111001011…
…101011101000011000
32010010102122202202220
4110213023223220120
5330311321211300
614100054024040
71412312453112
oct244713535030
963112582686
1022132210200
119428068111
124358048020
132119362789
1410dd5583b2
15898046da0
hex5272eba18

22132210200 has 96 divisors (see below), whose sum is σ = 69239504400. Its totient is φ = 5847759360.

The previous prime is 22132210147. The next prime is 22132210229. The reversal of 22132210200 is 201223122.

It is a happy number.

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 22132210200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103807 + ... + 234606.

Almost surely, 222132210200 is an apocalyptic number.

22132210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132210200 is an abundant number, since it is smaller than the sum of its proper divisors (47107294200).

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

22132210200 is a wasteful number, since it uses less digits than its factorization.

22132210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338541 (or 338532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22132210200 its reverse (201223122), we get a palindrome (22333433322).

The spelling of 22132210200 in words is "twenty-two billion, one hundred thirty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 200 218 300 327 436 545 600 654 872 1090 1308 1635 2180 2616 2725 3270 4360 5450 6540 8175 10900 13080 16350 21800 32700 65400 338413 676826 1015239 1353652 1692065 2030478 2707304 3384130 4060956 5076195 6768260 8121912 8460325 10152390 13536520 16920650 20304780 25380975 33841300 36887017 40609560 50761950 67682600 73774034 101523900 110661051 147548068 184435085 203047800 221322102 295096136 368870170 442644204 553305255 737740340 885288408 922175425 1106610510 1475480680 1844350850 2213221020 2766526275 3688701700 4426442040 5533052550 7377403400 11066105100 22132210200