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229835190 = 23513619661
BaseRepresentation
bin11011011001100…
…00000110110110
3121000110211121110
431230300012312
5432314211230
634450055450
75460365304
oct1554600666
9530424543
10229835190
11108810642
1264b7a586
1338802270
142274b274
151529e4b0
hexdb301b6

229835190 has 64 divisors (see below), whose sum is σ = 603836352. Its totient is φ = 55641600.

The previous prime is 229835183. The next prime is 229835201. The reversal of 229835190 is 91538922.

229835190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2298351902 = 105648429124672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18960 + ... + 28620.

It is an arithmetic number, because the mean of its divisors is an integer number (9434943).

Almost surely, 2229835190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229835190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301918176).

229835190 is an abundant number, since it is smaller than the sum of its proper divisors (374001162).

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

229835190 is a wasteful number, since it uses less digits than its factorization.

229835190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 229835190 is about 15160.3162895765. The cubic root of 229835190 is about 612.5461878261.

The spelling of 229835190 in words is "two hundred twenty-nine million, eight hundred thirty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1830 2379 3965 4758 7930 9661 11895 19322 23790 28983 48305 57966 96610 125593 144915 251186 289830 376779 589321 627965 753558 1178642 1255930 1767963 1883895 2946605 3535926 3767790 5893210 7661173 8839815 15322346 17679630 22983519 38305865 45967038 76611730 114917595 229835190