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213025344 = 2637222643
BaseRepresentation
bin11001011001010…
…00001001000000
3112211211210211120
430230220021000
5414013302334
633045512240
75164454100
oct1454501100
9484753746
10213025344
11aa27a104
125b412680
1335197bcc
1420413200
1513a7d949
hexcb28240

213025344 has 84 divisors (see below), whose sum is σ = 655679664. Its totient is φ = 60861696.

The previous prime is 213025343. The next prime is 213025369. The reversal of 213025344 is 443520312.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213025343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1914 + ... + 20729.

Almost surely, 2213025344 is an apocalyptic number.

213025344 is a gapful number since it is divisible by the number (24) 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 213025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327839832).

213025344 is an abundant number, since it is smaller than the sum of its proper divisors (442654320).

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

213025344 is a wasteful number, since it uses less digits than its factorization.

213025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22672 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 213025344 is about 14595.3877646330. The cubic root of 213025344 is about 597.2329475402.

Adding to 213025344 its reverse (443520312), we get a palindrome (656545656).

The spelling of 213025344 in words is "two hundred thirteen million, twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 22643 45286 67929 90572 135858 158501 181144 271716 317002 362288 475503 543432 634004 724576 951006 1086864 1109507 1268008 1449152 1902012 2173728 2219014 2536016 3328521 3804024 4347456 4438028 5072032 6657042 7608048 8876056 10144064 13314084 15216096 17752112 26628168 30432192 35504224 53256336 71008448 106512672 213025344