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213124284 = 22345911149
BaseRepresentation
bin11001011010000…
…00010010111100
3112212000211120000
430231000102330
5414024434114
633051554300
75165345412
oct1455002274
9485024500
10213124284
11aa33747a
125b45b990
1335200c59
142043b2b2
1513a9ce09
hexcb404bc

213124284 has 60 divisors (see below), whose sum is σ = 566643000. Its totient is φ = 69831072.

The previous prime is 213124271. The next prime is 213124309. The reversal of 213124284 is 482421312.

213124284 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13542 + ... + 24690.

It is an arithmetic number, because the mean of its divisors is an integer number (9444050).

Almost surely, 2213124284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213124284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283321500).

213124284 is an abundant number, since it is smaller than the sum of its proper divisors (353518716).

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

213124284 is a wasteful number, since it uses less digits than its factorization.

213124284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11213 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 213124284 is about 14598.7767980746. The cubic root of 213124284 is about 597.3253951975.

Adding to 213124284 its reverse (482421312), we get a palindrome (695545596).

The spelling of 213124284 in words is "two hundred thirteen million, one hundred twenty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 3186 4779 6372 9558 11149 19116 22298 33447 44596 66894 100341 133788 200682 301023 401364 602046 657791 903069 1204092 1315582 1806138 1973373 2631164 3612276 3946746 5920119 7893492 11840238 17760357 23680476 35520714 53281071 71041428 106562142 213124284