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2225410050 = 235247479659
BaseRepresentation
bin1000010010100101…
…0001000000000010
312202002111112200110
42010221101000002
514024201110200
61004454132150
7106101446643
oct20451210002
95662445613
102225410050
11a42205566
12521351056
1329608a3a6
141717b36ca
15d058ab50
hex84a51002

2225410050 has 96 divisors (see below), whose sum is σ = 5656780800. Its totient is φ = 578724160.

The previous prime is 2225410049. The next prime is 2225410087. The reversal of 2225410050 is 500145222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2225409999 and 2225410026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376621 + ... + 3377279.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 22225410050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225410050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828390400).

2225410050 is an abundant number, since it is smaller than the sum of its proper divisors (3431370750).

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

2225410050 is a wasteful number, since it uses less digits than its factorization.

2225410050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2225410050 is about 47174.2519813510. The cubic root of 2225410050 is about 1305.5795784390.

Adding to 2225410050 its reverse (500145222), we get a palindrome (2725555272).

The spelling of 2225410050 in words is "two billion, two hundred twenty-five million, four hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 479 659 705 958 1175 1318 1410 1437 1977 2350 2395 2874 3295 3525 3954 4790 6590 7050 7185 9885 11975 14370 16475 19770 22513 23950 30973 32950 35925 45026 49425 61946 67539 71850 92919 98850 112565 135078 154865 185838 225130 309730 315661 337695 464595 562825 631322 675390 774325 929190 946983 1125650 1548650 1578305 1688475 1893966 2322975 3156610 3376950 4645950 4734915 7891525 9469830 14836067 15783050 23674575 29672134 44508201 47349150 74180335 89016402 148360670 222541005 370901675 445082010 741803350 1112705025 2225410050