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2234332100 = 225271113217101
BaseRepresentation
bin1000010100101101…
…0011001111000100
312202201021211102202
42011023103033010
514033442111400
61005413254032
7106240336520
oct20513231704
95681254382
102234332100
11a47249860
12524334318
13297b92400
14172a56d80
15d124e4d5
hex852d33c4

2234332100 has 432 divisors, whose sum is σ = 6999302016. Its totient is φ = 599040000.

The previous prime is 2234332069. The next prime is 2234332109. The reversal of 2234332100 is 12334322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2234332109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22122050 + ... + 22122150.

It is an arithmetic number, because the mean of its divisors is an integer number (16202088).

Almost surely, 22234332100 is an apocalyptic number.

2234332100 is a gapful number since it is divisible by the number (20) 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 2234332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499651008).

2234332100 is an abundant number, since it is smaller than the sum of its proper divisors (4764969916).

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

2234332100 is a wasteful number, since it uses less digits than its factorization.

2234332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2234332100 is about 47268.7222167048. The cubic root of 2234332100 is about 1307.3220159710.

Adding to 2234332100 its reverse (12334322), we get a palindrome (2246666422).

The spelling of 2234332100 in words is "two billion, two hundred thirty-four million, three hundred thirty-two thousand, one hundred".