Search a number
-
+
2553112500 = 22355103661
BaseRepresentation
bin1001100000101101…
…0110011110110100
320120221010112221020
42120023112132310
520212044100000
61101202021140
7120161045451
oct23013263664
96527115836
102553112500
1110a0190234
125b30477b0
13318c37473
141a3118828
15ee21cba0
hex982d67b4

2553112500 has 144 divisors (see below), whose sum is σ = 7529768064. Its totient is φ = 673200000.

The previous prime is 2553112423. The next prime is 2553112543. The reversal of 2553112500 is 52113552.

It is a happy number.

2553112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3862170 + ... + 3862830.

It is an arithmetic number, because the mean of its divisors is an integer number (52290056).

Almost surely, 22553112500 is an apocalyptic number.

2553112500 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 2553112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764884032).

2553112500 is an abundant number, since it is smaller than the sum of its proper divisors (4976655564).

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

2553112500 is a wasteful number, since it uses less digits than its factorization.

2553112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2553112500 is about 50528.3336356939. Note that the first 3 decimals coincide. The cubic root of 2553112500 is about 1366.7528367903.

The spelling of 2553112500 in words is "two billion, five hundred fifty-three million, one hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 125 150 206 250 300 309 375 412 500 515 618 625 661 750 1030 1236 1250 1322 1500 1545 1875 1983 2060 2500 2575 2644 3090 3125 3305 3750 3966 5150 6180 6250 6610 7500 7725 7932 9375 9915 10300 12500 12875 13220 15450 16525 18750 19830 25750 30900 33050 37500 38625 39660 49575 51500 64375 66100 68083 77250 82625 99150 128750 136166 154500 165250 193125 198300 204249 247875 257500 272332 321875 330500 340415 386250 408498 413125 495750 643750 680830 772500 816996 826250 965625 991500 1021245 1239375 1287500 1361660 1652500 1702075 1931250 2042490 2065625 2478750 3404150 3862500 4084980 4131250 4957500 5106225 6196875 6808300 8262500 8510375 10212450 12393750 17020750 20424900 24787500 25531125 34041500 42551875 51062250 85103750 102124500 127655625 170207500 212759375 255311250 425518750 510622500 638278125 851037500 1276556250 2553112500