Search a number
-
+
229202351872 = 281374392693
BaseRepresentation
bin1101010101110110000…
…1100101011100000000
3210220121111122212100021
43111131201211130000
512223401300224442
6253143305503224
722362563563054
oct3253541453400
9726544585307
10229202351872
11892278303aa
12385074a1b14
13187c9375a20
14b144613c64
155e6703ce67
hex355d865700

229202351872 has 72 divisors (see below), whose sum is σ = 493370859744. Its totient is φ = 105642184704.

The previous prime is 229202351857. The next prime is 229202351893. The reversal of 229202351872 is 278153202922.

It is a super-2 number, since 2×2292023518722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2426358 + ... + 2519050.

It is an arithmetic number, because the mean of its divisors is an integer number (6852373052).

Almost surely, 2229202351872 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 229202351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246685429872).

229202351872 is an abundant number, since it is smaller than the sum of its proper divisors (264168507872).

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

229202351872 is an equidigital number, since it uses as much as digits as its factorization.

229202351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93465 (or 93451 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 229202351872 in words is "two hundred twenty-nine billion, two hundred two million, three hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 743 832 1486 1664 2972 3328 5944 9659 11888 19318 23776 38636 47552 77272 92693 95104 154544 185386 190208 309088 370772 618176 741544 1205009 1236352 1483088 2410018 2472704 2966176 4820036 5932352 9640072 11864704 19280144 23729408 38560288 68870899 77120576 137741798 154241152 275483596 308482304 550967192 895321687 1101934384 1790643374 2203868768 3581286748 4407737536 7162573496 8815475072 14325146992 17630950144 28650293984 57300587968 114601175936 229202351872