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6228222000 = 24353711131761
BaseRepresentation
bin1011100110011101…
…10010000000110000
3121002001111110101220
411303032302000300
5100223411101000
62510004225040
7310225004430
oct56316620060
917061443356
106228222000
11270673a410
12125999b180
13783454980
1443125a2c0
15266bb91a0
hex1733b2030

6228222000 has 1280 divisors, whose sum is σ = 29014142976. Its totient is φ = 1105920000.

The previous prime is 6228221981. The next prime is 6228222001. The reversal of 6228222000 is 2228226.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6228222001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102101970 + ... + 102102030.

Almost surely, 26228222000 is an apocalyptic number.

6228222000 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 6228222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507071488).

6228222000 is an abundant number, since it is smaller than the sum of its proper divisors (22785920976).

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

6228222000 is a wasteful number, since it uses less digits than its factorization.

6228222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6228222000 is about 78919.0851442159. The cubic root of 6228222000 is about 1839.8737704835.

The spelling of 6228222000 in words is "six billion, two hundred twenty-eight million, two hundred twenty-two thousand".