Search a number
-
+
10225997544 = 23373761149181
BaseRepresentation
bin10011000011000010…
…00101011011101000
3222101200000111110210
421201201011123220
5131420323410134
64410414341120
7511260354630
oct114141053350
928350014423
1010225997544
114378344344
121b947ba7a0
13c6c777a29
146d01916c0
153ecb502e9
hex2618456e8

10225997544 has 256 divisors, whose sum is σ = 30873024000. Its totient is φ = 2762035200.

The previous prime is 10225997533. The next prime is 10225997557. The reversal of 10225997544 is 44579952201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10225997493 and 10225997502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56497134 + ... + 56497314.

It is an arithmetic number, because the mean of its divisors is an integer number (120597750).

Almost surely, 210225997544 is an apocalyptic number.

10225997544 is a gapful number since it is divisible by the number (14) 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 10225997544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512000).

10225997544 is an abundant number, since it is smaller than the sum of its proper divisors (20647026456).

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

10225997544 is a wasteful number, since it uses less digits than its factorization.

10225997544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 10225997544 in words is "ten billion, two hundred twenty-five million, nine hundred ninety-seven thousand, five hundred forty-four".