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888228900 = 2232521389853
BaseRepresentation
bin110100111100010…
…100110000100100
32021220100200222200
4310330110300210
53304341311100
6224045454500
731003551426
oct6474246044
92256320880
10888228900
11416422579
12209571430
13112034940
1485d74816
1552ea3e00
hex34f14c24

888228900 has 216 divisors, whose sum is σ = 3035508840. Its totient is φ = 215930880.

The previous prime is 888228871. The next prime is 888228911. The reversal of 888228900 is 9822888.

It can be written as a sum of positive squares in 12 ways, for example, as 751198464 + 137030436 = 27408^2 + 11706^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040874 + ... + 1041726.

Almost surely, 2888228900 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 888228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517754420).

888228900 is an abundant number, since it is smaller than the sum of its proper divisors (2147279940).

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

888228900 is a wasteful number, since it uses less digits than its factorization.

888228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 888228900 is about 29803.1692945566. The cubic root of 888228900 is about 961.2616874452.

The spelling of 888228900 in words is "eight hundred eighty-eight million, two hundred twenty-eight thousand, nine hundred".