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6220730880 = 293357132343
BaseRepresentation
bin1011100101100100…
…01101001000000000
3121001112101212112000
411302302031020000
5100220001342010
62505135504000
7310104224430
oct56262151000
917045355460
106220730880
112702493201
121257388000
13781a31060
1443026a2c0
152661d97c0
hex172c8d200

6220730880 has 1280 divisors, whose sum is σ = 29038141440. Its totient is φ = 1226244096.

The previous prime is 6220730861. The next prime is 6220730911. The reversal of 6220730880 is 880370226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 144668139 + ... + 144668181.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 26220730880 is an apocalyptic number.

6220730880 is a gapful number since it is divisible by the number (60) 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 6220730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720).

6220730880 is an abundant number, since it is smaller than the sum of its proper divisors (22817410560).

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

6220730880 is a wasteful number, since it uses less digits than its factorization.

6220730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6220730880 is about 78871.6101014807. The cubic root of 6220730880 is about 1839.1358260799.

The spelling of 6220730880 in words is "six billion, two hundred twenty million, seven hundred thirty thousand, eight hundred eighty".