Search a number
-
+
2225102000 = 245311101141
BaseRepresentation
bin1000010010100000…
…0101110010110000
312202001220220010012
42010220011302300
514024111231000
61004443354052
7106066024562
oct20450056260
95661826105
102225102000
11a42015080
12521222928
13295cb0104
14171733332
15d0529735
hex84a05cb0

2225102000 has 80 divisors (see below), whose sum is σ = 5869472544. Its totient is φ = 809120000.

The previous prime is 2225101999. The next prime is 2225102029. The reversal of 2225102000 is 2015222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28571 + ... + 72570.

Almost surely, 22225102000 is an apocalyptic number.

2225102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225102000 is an abundant number, since it is smaller than the sum of its proper divisors (3644370544).

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

2225102000 is a wasteful number, since it uses less digits than its factorization.

2225102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101175 (or 101159 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2225102000 is about 47170.9868457297. The cubic root of 2225102000 is about 1305.5193345081.

Adding to 2225102000 its reverse (2015222), we get a palindrome (2227117222).

The spelling of 2225102000 in words is "two billion, two hundred twenty-five million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 101141 202282 404564 505705 809128 1011410 1112551 1618256 2022820 2225102 2528525 4045640 4450204 5057050 5562755 8091280 8900408 10114100 11125510 12642625 17800816 20228200 22251020 25285250 27813775 40456400 44502040 50570500 55627550 89004080 101141000 111255100 139068875 202282000 222510200 278137750 445020400 556275500 1112551000 2225102000