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2225500128 = 253237920389
BaseRepresentation
bin1000010010100110…
…0110111111100000
312202002200010020200
42010221212333200
514024212001003
61004500105200
7106102303365
oct20451467740
95662603220
102225500128
11a42267205
12521395200
132960bc3a7
141717d846c
15d05a76a3
hex84a66fe0

2225500128 has 72 divisors (see below), whose sum is σ = 6345775800. Its totient is φ = 739839744.

The previous prime is 2225500127. The next prime is 2225500129. The reversal of 2225500128 is 8210055222.

It is an interprime number because it is at equal distance from previous prime (2225500127) and next prime (2225500129).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22255001283 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225500127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98958 + ... + 119346.

It is an arithmetic number, because the mean of its divisors is an integer number (88135775).

Almost surely, 22225500128 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 2225500128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172887900).

2225500128 is an abundant number, since it is smaller than the sum of its proper divisors (4120275672).

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

2225500128 is a wasteful number, since it uses less digits than its factorization.

2225500128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2225500128 is about 47175.2067086091. The cubic root of 2225500128 is about 1305.5971935313.

The spelling of 2225500128 in words is "two billion, two hundred twenty-five million, five hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 20389 27288 36384 40778 54576 61167 81556 109152 122334 163112 183501 244668 326224 367002 489336 652448 734004 978672 1468008 1957344 2936016 5872032 7727431 15454862 23182293 30909724 46364586 61819448 69546879 92729172 123638896 139093758 185458344 247277792 278187516 370916688 556375032 741833376 1112750064 2225500128