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22011110000 = 245411218191
BaseRepresentation
bin10100011111111101…
…101110001001110000
32002210222210020112022
4110133331232021300
5330034321010000
614040050251012
71406312230235
oct243775561160
962728706468
1022011110000
119375774800
124323586a68
1320ca241b59
1410cb43378c
1588c5c5585
hex51ff6e270

22011110000 has 150 divisors (see below), whose sum is σ = 58579386096. Its totient is φ = 8003600000.

The previous prime is 22011109927. The next prime is 22011110047. The reversal of 22011110000 is 1111022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22011110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1200905 + ... + 1219095.

Almost surely, 222011110000 is an apocalyptic number.

22011110000 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 22011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289693048).

22011110000 is an abundant number, since it is smaller than the sum of its proper divisors (36568276096).

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

22011110000 is a wasteful number, since it uses less digits than its factorization.

22011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18241 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22011110000 its reverse (1111022), we get a palindrome (22012221022).

The spelling of 22011110000 in words is "twenty-two billion, eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 18191 22000 24200 27500 30250 36382 48400 55000 60500 72764 75625 90955 110000 121000 145528 151250 181910 200101 242000 291056 302500 363820 400202 454775 605000 727640 800404 909550 1000505 1210000 1455280 1600808 1819100 2001010 2201111 2273875 3201616 3638200 4002020 4402222 4547750 5002525 7276400 8004040 8804444 9095500 10005050 11005555 11369375 16008080 17608888 18191000 20010100 22011110 22738750 25012625 35217776 36382000 40020200 44022220 45477500 50025250 55027775 80040400 88044440 90955000 100050500 110055550 125063125 176088880 181910000 200101000 220111100 250126250 275138875 400202000 440222200 500252500 550277750 880444400 1000505000 1100555500 1375694375 2001010000 2201111000 2751388750 4402222000 5502777500 11005555000 22011110000