Search a number
-
+
5625222240 = 2535112234211
BaseRepresentation
bin1010011110100101…
…00001010001100000
3112112000211220020110
411033102201101200
543010024102430
62330104011320
7256253412561
oct51722412140
915460756213
105625222240
112427322800
12110ba60b40
136b8548891
143b5132168
1522dca77b0
hex14f4a1460

5625222240 has 288 divisors, whose sum is σ = 20328392448. Its totient is φ = 1304089600.

The previous prime is 5625222223. The next prime is 5625222269. The reversal of 5625222240 is 422225265.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5625222198 and 5625222207.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1333735 + ... + 1337945.

It is an arithmetic number, because the mean of its divisors is an integer number (70584696).

Almost surely, 25625222240 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 5625222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164196224).

5625222240 is an abundant number, since it is smaller than the sum of its proper divisors (14703170208).

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

5625222240 is a wasteful number, since it uses less digits than its factorization.

5625222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5625222240 is about 75001.4815853660. The cubic root of 5625222240 is about 1778.4700736838.

The spelling of 5625222240 in words is "five billion, six hundred twenty-five million, two hundred twenty-two thousand, two hundred forty".