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2221222140 = 2232522953887
BaseRepresentation
bin1000010001100101…
…0010100011111100
312201210121202221200
42010121102203330
514022113102030
61004224255500
7106021035204
oct20431224374
95653552850
102221222140
11a3a905085
1251ba71590
13295252137
14171003404
15d000ed60
hex846528fc

2221222140 has 72 divisors (see below), whose sum is σ = 6767255040. Its totient is φ = 589728384.

The previous prime is 2221222127. The next prime is 2221222163. The reversal of 2221222140 is 412221222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14277 + ... + 68163.

Almost surely, 22221222140 is an apocalyptic number.

2221222140 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 2221222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383627520).

2221222140 is an abundant number, since it is smaller than the sum of its proper divisors (4546032900).

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

2221222140 is a wasteful number, since it uses less digits than its factorization.

2221222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54131 (or 54126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2221222140 is about 47129.8434115795. The cubic root of 2221222140 is about 1304.7600915394.

Adding to 2221222140 its reverse (412221222), we get a palindrome (2633443362).

The spelling of 2221222140 in words is "two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 53887 107774 161661 215548 269435 323322 484983 538870 646644 808305 969966 1077740 1616610 1939932 2424915 3233220 4849830 9699660 12340123 24680246 37020369 49360492 61700615 74040738 111061107 123401230 148081476 185101845 222122214 246802460 370203690 444244428 555305535 740407380 1110611070 2221222140