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231453216 = 253273101109
BaseRepresentation
bin11011100101110…
…11001000100000
3121010112001010100
431302323020200
5433223000331
634544502400
75510214501
oct1562731040
9533461110
10231453216
11109716255
126561aa00
1338c4a887
1422a4cba8
15154bdae6
hexdcbb220

231453216 has 144 divisors (see below), whose sum is σ = 679999320. Its totient is φ = 74649600.

The previous prime is 231453203. The next prime is 231453217. The reversal of 231453216 is 612354132.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 291600 = 15204^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (4320) is a multiple of the sum of its prime divisors (288).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 231453216.

It is not an unprimeable number, because it can be changed into a prime (231453217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2123370 + ... + 2123478.

Almost surely, 2231453216 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 231453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339999660).

231453216 is an abundant number, since it is smaller than the sum of its proper divisors (448546104).

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

231453216 is a wasteful number, since it uses less digits than its factorization.

231453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 231453216 is about 15213.5865593883. The cubic root of 231453216 is about 613.9802573343.

The spelling of 231453216 in words is "two hundred thirty-one million, four hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 101 109 144 146 202 218 219 288 292 303 327 404 436 438 584 606 654 657 808 872 876 909 981 1168 1212 1308 1314 1616 1744 1752 1818 1962 2336 2424 2616 2628 3232 3488 3504 3636 3924 4848 5232 5256 7008 7272 7373 7848 7957 9696 10464 10512 11009 14544 14746 15696 15914 21024 22018 22119 23871 29088 29492 31392 31828 33027 44036 44238 47742 58984 63656 66054 66357 71613 88072 88476 95484 99081 117968 127312 132108 132714 143226 176144 176952 190968 198162 235936 254624 264216 265428 286452 352288 353904 381936 396324 528432 530856 572904 707808 763872 792648 803657 1056864 1061712 1145808 1585296 1607314 2123424 2291616 2410971 3170592 3214628 4821942 6429256 7232913 9643884 12858512 14465826 19287768 25717024 28931652 38575536 57863304 77151072 115726608 231453216