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213544020 = 223537432237
BaseRepresentation
bin11001011101001…
…10110001010100
3112212211011022210
430232212301110
5414131402040
633104553420
75202044214
oct1456466124
9485734283
10213544020
11aa5a3868
125b622870
133531a011
142050a244
1513b32480
hexcba6c54

213544020 has 96 divisors (see below), whose sum is σ = 628645248. Its totient is φ = 54093312.

The previous prime is 213544013. The next prime is 213544033. The reversal of 213544020 is 20445312.

213544020 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 31 ways as a sum of consecutive naturals, for example, 94342 + ... + 96578.

It is an arithmetic number, because the mean of its divisors is an integer number (6548388).

Almost surely, 2213544020 is an apocalyptic number.

213544020 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 213544020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314322624).

213544020 is an abundant number, since it is smaller than the sum of its proper divisors (415101228).

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

213544020 is a wasteful number, since it uses less digits than its factorization.

213544020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 213544020 is about 14613.1454519552. The cubic root of 213544020 is about 597.7172707032.

Adding to 213544020 its reverse (20445312), we get a palindrome (233989332).

The spelling of 213544020 in words is "two hundred thirteen million, five hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2237 2580 3182 4474 4773 6364 6711 7955 8948 9546 11185 13422 15910 19092 22370 23865 26844 31820 33555 44740 47730 67110 82769 95460 96191 134220 165538 192382 248307 288573 331076 384764 413845 480955 496614 577146 827690 961910 993228 1154292 1241535 1442865 1655380 1923820 2483070 2885730 3559067 4966140 5771460 7118134 10677201 14236268 17795335 21354402 35590670 42708804 53386005 71181340 106772010 213544020