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7142306220 = 2234571737049
BaseRepresentation
bin1101010011011011…
…01111000110101100
3200102202111202020000
412221231233012230
5104111412244340
63140420224300
7341664413130
oct65155570654
920382452200
107142306220
113035711415
121473b3b090
1389a93cbca
144ba8013c0
152bc078d30
hex1a9b6f1ac

7142306220 has 240 divisors, whose sum is σ = 27113486400. Its totient is φ = 1536454656.

The previous prime is 7142306201. The next prime is 7142306233. The reversal of 7142306220 is 226032417.

7142306220 is a `hidden beast` number, since 7 + 1 + 4 + 2 + 30 + 622 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174256 + ... + 211304.

It is an arithmetic number, because the mean of its divisors is an integer number (112972860).

Almost surely, 27142306220 is an apocalyptic number.

7142306220 is a gapful number since it is divisible by the number (70) 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 7142306220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556743200).

7142306220 is an abundant number, since it is smaller than the sum of its proper divisors (19971180180).

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

7142306220 is a wasteful number, since it uses less digits than its factorization.

7142306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37094 (or 37083 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7142306220 is about 84512.1661064252. The cubic root of 7142306220 is about 1925.8072710168.

Adding to 7142306220 its reverse (226032417), we get a palindrome (7368338637).

The spelling of 7142306220 in words is "seven billion, one hundred forty-two million, three hundred six thousand, two hundred twenty".