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22212130000 = 245410720759
BaseRepresentation
bin10100101011111100…
…100011010011010000
32010100000001010010111
4110223330203103100
5330442301130000
614112031011104
71414302663334
oct245374432320
963300033114
1022212130000
119469194035
12437a969a94
13212ca954b8
141109ddd7c4
158a0081cba
hex52bf234d0

22212130000 has 100 divisors (see below), whose sum is σ = 54282998880. Its totient is φ = 8801392000.

The previous prime is 22212129997. The next prime is 22212130093. The reversal of 22212130000 is 3121222.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1059621 + ... + 1080379.

Almost surely, 222212130000 is an apocalyptic number.

22212130000 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 22212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141499440).

22212130000 is an abundant number, since it is smaller than the sum of its proper divisors (32070868880).

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

22212130000 is a wasteful number, since it uses less digits than its factorization.

22212130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20894 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22212130000 its reverse (3121222), we get a palindrome (22215251222).

The spelling of 22212130000 in words is "twenty-two billion, two hundred twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 4280 5000 5350 8560 10000 10700 13375 20759 21400 26750 41518 42800 53500 66875 83036 103795 107000 133750 166072 207590 214000 267500 332144 415180 518975 535000 830360 1037950 1070000 1660720 2075900 2221213 2594875 4151800 4442426 5189750 8303600 8884852 10379500 11106065 12974375 17769704 20759000 22212130 25948750 35539408 41518000 44424260 51897500 55530325 88848520 103795000 111060650 177697040 207590000 222121300 277651625 444242600 555303250 888485200 1110606500 1388258125 2221213000 2776516250 4442426000 5553032500 11106065000 22212130000