Search a number
-
+
2025600224 = 25373115501
BaseRepresentation
bin111100010111100…
…0011010011100000
312020011112011010112
41320233003103200
513122023201344
6532555350452
7101124214004
oct17057032340
95204464115
102025600224
1194a44247a
12486452428
1326386b81b
14153040704
15bcc6cc9e
hex78bc34e0

2025600224 has 48 divisors (see below), whose sum is σ = 4109597856. Its totient is φ = 982080000.

The previous prime is 2025600197. The next prime is 2025600253. The reversal of 2025600224 is 4220065202.

It is a self number, because there is not a number n which added to its sum of digits gives 2025600224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365474 + ... + 370974.

It is an arithmetic number, because the mean of its divisors is an integer number (85616622).

Almost surely, 22025600224 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 2025600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054798928).

2025600224 is an abundant number, since it is smaller than the sum of its proper divisors (2083997632).

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

2025600224 is a wasteful number, since it uses less digits than its factorization.

2025600224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2025600224 is about 45006.6686614328. The cubic root of 2025600224 is about 1265.2739852410.

Adding to 2025600224 its reverse (4220065202), we get a palindrome (6245665426).

The spelling of 2025600224 in words is "two billion, twenty-five million, six hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 311 592 622 1184 1244 2488 4976 5501 9952 11002 11507 22004 23014 44008 46028 88016 92056 176032 184112 203537 368224 407074 814148 1628296 1710811 3256592 3421622 6513184 6843244 13686488 27372976 54745952 63300007 126600014 253200028 506400056 1012800112 2025600224