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20224500 = 2235397139
BaseRepresentation
bin100110100100…
…1100111110100
31102001111210120
41031021213310
520134141000
62001251540
7333622362
oct115114764
942044716
1020224500
1110463a6a
126933bb0
13426167a
142986632
151b976a0
hex13499f4

20224500 has 96 divisors (see below), whose sum is σ = 59928960. Its totient is φ = 5299200.

The previous prime is 20224483. The next prime is 20224507. The reversal of 20224500 is 542202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20224500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145431 + ... + 145569.

It is an arithmetic number, because the mean of its divisors is an integer number (624260).

Almost surely, 220224500 is an apocalyptic number.

20224500 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 20224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29964480).

20224500 is an abundant number, since it is smaller than the sum of its proper divisors (39704460).

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

20224500 is a wasteful number, since it uses less digits than its factorization.

20224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 20224500 is about 4497.1657741293. The cubic root of 20224500 is about 272.4536295701.

Adding to 20224500 its reverse (542202), we get a palindrome (20766702).

The spelling of 20224500 in words is "twenty million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 125 139 150 194 250 278 291 300 375 388 417 485 500 556 582 695 750 834 970 1164 1390 1455 1500 1668 1940 2085 2425 2780 2910 3475 4170 4850 5820 6950 7275 8340 9700 10425 12125 13483 13900 14550 17375 20850 24250 26966 29100 34750 36375 40449 41700 48500 52125 53932 67415 69500 72750 80898 104250 134830 145500 161796 202245 208500 269660 337075 404490 674150 808980 1011225 1348300 1685375 2022450 3370750 4044900 5056125 6741500 10112250 20224500