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2220162048 = 21034132971
BaseRepresentation
bin1000010001010100…
…1111110000000000
312201201121220210000
42010111033300000
514021330141143
61004145440000
7106006031436
oct20425176000
95651556700
102220162048
11a3a250675
1251b640000
13294c70770
14170c08d56
15ceda0bd3
hex8454fc00

2220162048 has 440 divisors, whose sum is σ = 7490054880. Its totient is φ = 650280960.

The previous prime is 2220162047. The next prime is 2220162053. The reversal of 2220162048 is 8402610222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220162047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31269853 + ... + 31269923.

It is an arithmetic number, because the mean of its divisors is an integer number (17022852).

Almost surely, 22220162048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745027440).

2220162048 is an abundant number, since it is smaller than the sum of its proper divisors (5269892832).

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

2220162048 is a wasteful number, since it uses less digits than its factorization.

2220162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2220162048 is about 47118.5955648086. The cubic root of 2220162048 is about 1304.5524902359.

The spelling of 2220162048 in words is "two billion, two hundred twenty million, one hundred sixty-two thousand, forty-eight".