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2221849980 = 2233573167283
BaseRepresentation
bin1000010001101110…
…1011110101111100
312201211210200012000
42010123223311330
514022243144410
61004245542300
7106026261510
oct20433536574
95654720160
102221849980
11a401a3859
12520114990
13295411b3c
14171128140
15d00d5dc0
hex846ebd7c

2221849980 has 384 divisors, whose sum is σ = 8305704960. Its totient is φ = 482423040.

The previous prime is 2221849961. The next prime is 2221849999. The reversal of 2221849980 is 899481222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221849961) and next prime (2221849999).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7850919 + ... + 7851201.

It is an arithmetic number, because the mean of its divisors is an integer number (21629440).

Almost surely, 22221849980 is an apocalyptic number.

2221849980 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 2221849980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152852480).

2221849980 is an abundant number, since it is smaller than the sum of its proper divisors (6083854980).

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

2221849980 is a wasteful number, since it uses less digits than its factorization.

2221849980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2221849980 is about 47136.5036887549. The cubic root of 2221849980 is about 1304.8830123693.

The spelling of 2221849980 in words is "two billion, two hundred twenty-one million, eight hundred forty-nine thousand, nine hundred eighty".