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229835892 = 2231113151887
BaseRepresentation
bin11011011001100…
…00010001110100
3121000110212120110
431230300101310
5432314222032
634450103020
75460400326
oct1554602164
9530425513
10229835892
11108811120
1264b7aa70
1338802690
142274b616
151529e7cc
hexdb30474

229835892 has 96 divisors (see below), whose sum is σ = 634927104. Its totient is φ = 63792000.

The previous prime is 229835887. The next prime is 229835899. The reversal of 229835892 is 298538922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229835899) 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 31 ways as a sum of consecutive naturals, for example, 258673 + ... + 259559.

It is an arithmetic number, because the mean of its divisors is an integer number (6613824).

Almost surely, 2229835892 is an apocalyptic number.

229835892 is a gapful number since it is divisible by the number (22) 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 229835892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317463552).

229835892 is an abundant number, since it is smaller than the sum of its proper divisors (405091212).

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

229835892 is a wasteful number, since it uses less digits than its factorization.

229835892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 229835892 is about 15160.3394421101. The cubic root of 229835892 is about 612.5468114715.

The spelling of 229835892 in words is "two hundred twenty-nine million, eight hundred thirty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 151 156 286 302 429 453 572 604 858 887 906 1661 1716 1774 1812 1963 2661 3322 3548 3926 4983 5322 5889 6644 7852 9757 9966 10644 11531 11778 19514 19932 21593 23062 23556 29271 34593 39028 43186 46124 58542 64779 69186 86372 117084 126841 129558 133937 138372 253682 259116 267874 380523 401811 507364 535748 761046 803622 1473307 1522092 1607244 1741181 2946614 3482362 4419921 5223543 5893228 6964724 8839842 10447086 17679684 19152991 20894172 38305982 57458973 76611964 114917946 229835892