Search a number
-
+
225211024500 = 2235371119310103
BaseRepresentation
bin1101000110111110011…
…1111000010001110100
3210112022100021102111120
43101233213320101310
512142213010241000
6251243245503540
722161640060110
oct3215747702164
9715270242446
10225211024500
1187569830040
1237792871bb0
131831149c957
14ac864ba740
155cd192c6a0
hex346f9f8474

225211024500 has 384 divisors, whose sum is σ = 821956681728. Its totient is φ = 46550016000.

The previous prime is 225211024499. The next prime is 225211024547. The reversal of 225211024500 is 5420112522.

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, 22286449 + ... + 22296551.

It is an arithmetic number, because the mean of its divisors is an integer number (2140512192).

Almost surely, 2225211024500 is an apocalyptic number.

225211024500 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 225211024500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410978340864).

225211024500 is an abundant number, since it is smaller than the sum of its proper divisors (596745657228).

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

225211024500 is a wasteful number, since it uses less digits than its factorization.

225211024500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 225211024500 in words is "two hundred twenty-five billion, two hundred eleven million, twenty-four thousand, five hundred".