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2225522000 = 24531385597
BaseRepresentation
bin1000010010100110…
…1100010101010000
312202002201020020202
42010221230111100
514024213201000
61004500354332
7106102424222
oct20451542520
95662636222
102225522000
11a42281689
125213a59a8
132960c9330
14171802412
15d05addd5
hex84a6c550

2225522000 has 80 divisors (see below), whose sum is σ = 5795326992. Its totient is φ = 821721600.

The previous prime is 2225521999. The next prime is 2225522011. The reversal of 2225522000 is 2255222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1825681984 + 399840016 = 42728^2 + 19996^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

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, 16799 + ... + 68798.

Almost surely, 22225522000 is an apocalyptic number.

2225522000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225522000 is an abundant number, since it is smaller than the sum of its proper divisors (3569804992).

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

2225522000 is a wasteful number, since it uses less digits than its factorization.

2225522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85633 (or 85617 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2225522000 is about 47175.4385247239. The cubic root of 2225522000 is about 1305.6014706116.

Adding to 2225522000 its reverse (2255222), we get a palindrome (2227777222).

The spelling of 2225522000 in words is "two billion, two hundred twenty-five million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 85597 171194 342388 427985 684776 855970 1112761 1369552 1711940 2139925 2225522 3423880 4279850 4451044 5563805 6847760 8559700 8902088 10699625 11127610 17119400 17804176 21399250 22255220 27819025 34238800 42798500 44510440 55638050 85597000 89020880 111276100 139095125 171194000 222552200 278190250 445104400 556380500 1112761000 2225522000