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22133130240 = 2103513199557
BaseRepresentation
bin10100100111001111…
…001100010000000000
32010010111101111211110
4110213033030100000
5330312040131430
614100125443320
71412323334334
oct244717142000
963114344743
1022133130240
119428636381
124358410540
1321195c5490
1410dd7177c4
158981797b0
hex5273cc400

22133130240 has 352 divisors, whose sum is σ = 76757587200. Its totient is φ = 5411045376.

The previous prime is 22133130197. The next prime is 22133130251. The reversal of 22133130240 is 4203133122.

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 31 ways as a sum of consecutive naturals, for example, 39736042 + ... + 39736598.

Almost surely, 222133130240 is an apocalyptic number.

22133130240 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 22133130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378793600).

22133130240 is an abundant number, since it is smaller than the sum of its proper divisors (54624456960).

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

22133130240 is a wasteful number, since it uses less digits than its factorization.

22133130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22133130240 its reverse (4203133122), we get a palindrome (26336263362).

The spelling of 22133130240 in words is "twenty-two billion, one hundred thirty-three million, one hundred thirty thousand, two hundred forty".