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2144513500 = 22535477841
BaseRepresentation
bin111111111010010…
…1010110111011100
312112110021120110221
41333310222313130
513342443413000
6552444211124
7104100030643
oct17764526734
95473246427
102144513500
11a00581808
124ba239aa4
132823a4bcc
14164b5635a
15c840b61a
hex7fd2addc

2144513500 has 48 divisors (see below), whose sum is σ = 4692778272. Its totient is φ = 856128000.

The previous prime is 2144513419. The next prime is 2144513519. The reversal of 2144513500 is 53154412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 269580 + ... + 277420.

It is an arithmetic number, because the mean of its divisors is an integer number (97766214).

Almost surely, 22144513500 is an apocalyptic number.

2144513500 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 2144513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346389136).

2144513500 is an abundant number, since it is smaller than the sum of its proper divisors (2548264772).

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

2144513500 is a wasteful number, since it uses less digits than its factorization.

2144513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2144513500 is about 46308.8922346454. The cubic root of 2144513500 is about 1289.5640816230.

Adding to 2144513500 its reverse (53154412), we get a palindrome (2197667912).

The spelling of 2144513500 in words is "two billion, one hundred forty-four million, five hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 547 1094 2188 2735 5470 7841 10940 13675 15682 27350 31364 39205 54700 68375 78410 136750 156820 196025 273500 392050 784100 980125 1960250 3920500 4289027 8578054 17156108 21445135 42890270 85780540 107225675 214451350 428902700 536128375 1072256750 2144513500