Search a number
-
+
225500706270 = 233572191233383
BaseRepresentation
bin1101001000000011100…
…0111011010111011110
3210120001112100210012000
43102000320323113132
512143311140100040
6251332114423130
722202055243300
oct3220070732736
9716045323160
10225500706270
11876a82a7264
1237853891aa6
13183594c7098
14acb2b65970
155cec09e130
hex3480e3b5de

225500706270 has 384 divisors, whose sum is σ = 708036526080. Its totient is φ = 50919805440.

The previous prime is 225500706269. The next prime is 225500706287. The reversal of 225500706270 is 72607005522.

225500706270 is a `hidden beast` number, since 2 + 25 + 5 + 0 + 0 + 7 + 0 + 627 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 588774499 + ... + 588774881.

It is an arithmetic number, because the mean of its divisors is an integer number (1843845120).

Almost surely, 2225500706270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225500706270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354018263040).

225500706270 is an abundant number, since it is smaller than the sum of its proper divisors (482535819810).

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

225500706270 is a wasteful number, since it uses less digits than its factorization.

225500706270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 225500706270 in words is "two hundred twenty-five billion, five hundred million, seven hundred six thousand, two hundred seventy".