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229098496 = 210112432
BaseRepresentation
bin11011010011111…
…00010000000000
3120222002102001111
431221330100000
5432122122441
634422213104
75451206434
oct1551742000
9528072044
10229098496
11108358100
1264884194
1338604b53
14225d89c4
15151a6081
hexda7c400

229098496 has 99 divisors (see below), whose sum is σ = 515371143. Its totient is φ = 101713920.

The previous prime is 229098479. The next prime is 229098503. The reversal of 229098496 is 694890922.

It is a happy number.

The square root of 229098496 is 15136.

It is a perfect power (a square), and thus also a powerful number.

229098496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2290984962 = 104972241738924032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5327851 + ... + 5327893.

Almost surely, 2229098496 is an apocalyptic number.

229098496 is the 15136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229098496

229098496 is an abundant number, since it is smaller than the sum of its proper divisors (286272647).

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

229098496 is an equidigital number, since it uses as much as digits as its factorization.

229098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The cubic root of 229098496 is about 611.8910196538.

Multiplying 229098496 by its sum of digits (49), we get a square (11225826304 = 1059522).

The spelling of 229098496 in words is "two hundred twenty-nine million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 256 344 352 473 484 512 688 704 946 968 1024 1376 1408 1849 1892 1936 2752 2816 3698 3784 3872 5203 5504 5632 7396 7568 7744 10406 11008 11264 14792 15136 15488 20339 20812 22016 29584 30272 30976 40678 41624 44032 59168 60544 61952 81356 83248 118336 121088 123904 162712 166496 223729 236672 242176 325424 332992 447458 473344 484352 650848 665984 894916 946688 1301696 1331968 1789832 1893376 2603392 2663936 3579664 5206784 5327872 7159328 10413568 14318656 20827136 28637312 57274624 114549248 229098496