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25221122000 = 245319764013
BaseRepresentation
bin10111011111010010…
…111100011111010000
32102002200222202011122
4113133102330133100
5403123101401000
615330400101412
71552000666634
oct273722743720
972080882148
1025221122000
11a772736288
124a7a604868
1324bc2a7839
1413138a6dc4
159c9300085
hex5df4bc7d0

25221122000 has 80 divisors (see below), whose sum is σ = 61295197392. Its totient is φ = 10037081600.

The previous prime is 25221121963. The next prime is 25221122053. The reversal of 25221122000 is 22112252.

It can be written as a sum of positive squares in 8 ways, for example, as 254593936 + 24966528064 = 15956^2 + 158008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×252211220002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25221122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361994 + ... + 426006.

Almost surely, 225221122000 is an apocalyptic number.

25221122000 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 25221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30647598696).

25221122000 is an abundant number, since it is smaller than the sum of its proper divisors (36074075392).

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

25221122000 is a wasteful number, since it uses less digits than its factorization.

25221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64233 (or 64217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 25221122000 its reverse (22112252), we get a palindrome (25243234252).

The spelling of 25221122000 in words is "twenty-five billion, two hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 7880 9850 15760 19700 24625 39400 49250 64013 78800 98500 128026 197000 256052 320065 394000 512104 640130 1024208 1280260 1600325 2560520 3200650 5121040 6401300 8001625 12610561 12802600 16003250 25221122 25605200 32006500 50442244 63052805 64013000 100884488 126105610 128026000 201768976 252211220 315264025 504422440 630528050 1008844880 1261056100 1576320125 2522112200 3152640250 5044224400 6305280500 12610561000 25221122000