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213443880 = 233513612243
BaseRepresentation
bin11001011100011…
…10010100101000
3112212122001221220
430232032110220
5414120201010
633102502040
75201146236
oct1456162450
9485561856
10213443880
11aa535601
125b594920
13352b3570
14204c1956
1513b12970
hexcb8e528

213443880 has 128 divisors (see below), whose sum is σ = 701205120. Its totient is φ = 51655680.

The previous prime is 213443851. The next prime is 213443903. The reversal of 213443880 is 88344312.

It is an unprimeable number.

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, 94039 + ... + 96281.

It is an arithmetic number, because the mean of its divisors is an integer number (5478165).

Almost surely, 2213443880 is an apocalyptic number.

213443880 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 213443880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).

213443880 is an abundant number, since it is smaller than the sum of its proper divisors (487761240).

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

213443880 is a wasteful number, since it uses less digits than its factorization.

213443880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 213443880 is about 14609.7186831232. The cubic root of 213443880 is about 597.6238242932.

The spelling of 213443880 in words is "two hundred thirteen million, four hundred forty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2243 2379 2440 3172 3660 3965 4486 4758 6344 6729 7320 7930 8972 9516 11215 11895 13458 15860 17944 19032 22430 23790 26916 29159 31720 33645 44860 47580 53832 58318 67290 87477 89720 95160 116636 134580 136823 145795 174954 233272 269160 273646 291590 349908 410469 437385 547292 583180 684115 699816 820938 874770 1094584 1166360 1368230 1641876 1749540 1778699 2052345 2736460 3283752 3499080 3557398 4104690 5336097 5472920 7114796 8209380 8893495 10672194 14229592 16418760 17786990 21344388 26680485 35573980 42688776 53360970 71147960 106721940 213443880