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2221213000 = 235310720759
BaseRepresentation
bin1000010001100101…
…0000010101001000
312201210121022102011
42010121100111020
514022112304000
61004224145304
7106020666436
oct20431202510
95653538364
102221213000
11a3a8a9226
1251ba68234
1329524ac26
14170dddd56
15d000c2ba
hex84650548

2221213000 has 64 divisors (see below), whose sum is σ = 5246467200. Its totient is φ = 880139200.

The previous prime is 2221212989. The next prime is 2221213003. The reversal of 2221213000 is 3121222.

It is not an unprimeable number, because it can be changed into a prime (2221213003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96621 + ... + 117379.

It is an arithmetic number, because the mean of its divisors is an integer number (81976050).

Almost surely, 22221213000 is an apocalyptic number.

2221213000 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 2221213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623233600).

2221213000 is an abundant number, since it is smaller than the sum of its proper divisors (3025254200).

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

2221213000 is a wasteful number, since it uses less digits than its factorization.

2221213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20887 (or 20873 counting only the distinct ones).

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

The square root of 2221213000 is about 47129.7464453184. The cubic root of 2221213000 is about 1304.7583019055.

Adding to 2221213000 its reverse (3121222), we get a palindrome (2224334222).

The spelling of 2221213000 in words is "two billion, two hundred twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 20759 21400 26750 41518 53500 83036 103795 107000 166072 207590 415180 518975 830360 1037950 2075900 2221213 2594875 4151800 4442426 5189750 8884852 10379500 11106065 17769704 20759000 22212130 44424260 55530325 88848520 111060650 222121300 277651625 444242600 555303250 1110606500 2221213000