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213046644 = 223295311551
BaseRepresentation
bin11001011001011…
…01010101110100
3112211212220001110
430230231111310
5414014443034
633050155020
75164603146
oct1454552564
9484786043
10213046644
11aa294108
125b422a70
13351a4805
142041ac96
1513a84de9
hexcb2d574

213046644 has 48 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 67267200.

The previous prime is 213046637. The next prime is 213046649. The reversal of 213046644 is 446640312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213046649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12669 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2213046644 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 213046644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

213046644 is an abundant number, since it is smaller than the sum of its proper divisors (310952076).

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

213046644 is a wasteful number, since it uses less digits than its factorization.

213046644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 213046644 is about 14596.1174289603. The cubic root of 213046644 is about 597.2528522732.

Adding to 213046644 its reverse (446640312), we get a palindrome (659686956).

The spelling of 213046644 in words is "two hundred thirteen million, forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 11551 18444 23102 34653 46204 69306 138612 334979 612203 669958 1004937 1224406 1339916 1836609 2009874 2448812 3673218 4019748 7346436 17753887 35507774 53261661 71015548 106523322 213046644