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2142554220 = 2233529414771
BaseRepresentation
bin111111110110100…
…1100100001101100
312112022121000212000
41333231030201230
513341443213340
6552334212300
7104044260522
oct17755144154
95468530760
102142554220
119aa463774
124b9654090
13281b6a181
141647a6312
15c8170d30
hex7fb4c86c

2142554220 has 384 divisors, whose sum is σ = 7315660800. Its totient is φ = 519321600.

The previous prime is 2142554147. The next prime is 2142554231. The reversal of 2142554220 is 224552412.

2142554220 is a `hidden beast` number, since 214 + 25 + 5 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 30176785 + ... + 30176855.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 22142554220 is an apocalyptic number.

2142554220 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 2142554220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2142554220 is an abundant number, since it is smaller than the sum of its proper divisors (5173106580).

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

2142554220 is a wasteful number, since it uses less digits than its factorization.

2142554220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2142554220 is about 46287.7329321711. The cubic root of 2142554220 is about 1289.1712361961.

The spelling of 2142554220 in words is "two billion, one hundred forty-two million, five hundred fifty-four thousand, two hundred twenty".