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2242109430 = 233511317367
BaseRepresentation
bin1000010110100011…
…1101111111110110
312210020220221221000
42011220331333312
514042440000210
61010252104130
7106363421121
oct20550757766
95706827830
102242109430
11a50681000
12526a65046
13299686392
14173abd3b8
15d1c88ac0
hex85a3dff6

2242109430 has 256 divisors, whose sum is σ = 6982225920. Its totient is φ = 510174720.

The previous prime is 2242109423. The next prime is 2242109489. The reversal of 2242109430 is 349012422.

2242109430 is a `hidden beast` number, since 224 + 2 + 1 + 0 + 9 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2242109394 and 2242109403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6109107 + ... + 6109473.

It is an arithmetic number, because the mean of its divisors is an integer number (27274320).

Almost surely, 22242109430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242109430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491112960).

2242109430 is an abundant number, since it is smaller than the sum of its proper divisors (4740116490).

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

2242109430 is a wasteful number, since it uses less digits than its factorization.

2242109430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2242109430 is about 47350.9179425278. The cubic root of 2242109430 is about 1308.8371145861.

The spelling of 2242109430 in words is "two billion, two hundred forty-two million, one hundred nine thousand, four hundred thirty".