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22210166000 = 2453111377369
BaseRepresentation
bin10100101011110101…
…000011110011110000
32010022212100100000202
4110223311003303300
5330441300303000
614111520534332
71414250203361
oct245365036360
963285310022
1022210166000
1194680724a0
12437a1813a8
13212c558579
141109a4bb68
1589ece4dd5
hex52bd43cf0

22210166000 has 160 divisors (see below), whose sum is σ = 59022025920. Its totient is φ = 8016384000.

The previous prime is 22210165961. The next prime is 22210166059. The reversal of 22210166000 is 66101222.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 3010316 + ... + 3017684.

It is an arithmetic number, because the mean of its divisors is an integer number (368887662).

Almost surely, 222210166000 is an apocalyptic number.

22210166000 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 22210166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29511012960).

22210166000 is an abundant number, since it is smaller than the sum of its proper divisors (36811859920).

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

22210166000 is a wasteful number, since it uses less digits than its factorization.

22210166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22210166000 its reverse (66101222), we get a palindrome (22276267222).

The spelling of 22210166000 in words is "twenty-two billion, two hundred ten million, one hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 137 176 200 220 250 274 275 400 440 500 548 550 685 880 1000 1096 1100 1370 1375 1507 2000 2192 2200 2740 2750 3014 3425 4400 5480 5500 6028 6850 7369 7535 10960 11000 12056 13700 14738 15070 17125 22000 24112 27400 29476 30140 34250 36845 37675 54800 58952 60280 68500 73690 75350 81059 117904 120560 137000 147380 150700 162118 184225 188375 274000 294760 301400 324236 368450 376750 405295 589520 602800 648472 736900 753500 810590 921125 1009553 1296944 1473800 1507000 1621180 1842250 2019106 2026475 2947600 3014000 3242360 3684500 4038212 4052950 5047765 6484720 7369000 8076424 8105900 10095530 10132375 11105083 14738000 16152848 16211800 20191060 20264750 22210166 25238825 32423600 40382120 40529500 44420332 50477650 55525415 80764240 81059000 88840664 100955300 111050830 126194125 162118000 177681328 201910600 222101660 252388250 277627075 403821200 444203320 504776500 555254150 888406640 1009553000 1110508300 1388135375 2019106000 2221016600 2776270750 4442033200 5552541500 11105083000 22210166000