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230335890 = 23517231857
BaseRepresentation
bin11011011101010…
…10010110010010
3121001102021102220
431232222112102
5432431222030
634504521510
75464552131
oct1556522622
9531367386
10230335890
11109022844
1265180296
1338949135
142283b918
151534ca10
hexdbaa592

230335890 has 96 divisors (see below), whose sum is σ = 606887424. Its totient is φ = 55879680.

The previous prime is 230335871. The next prime is 230335891. The reversal of 230335890 is 98533032.

230335890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230335891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268342 + ... + 269198.

It is an arithmetic number, because the mean of its divisors is an integer number (6321744).

Almost surely, 2230335890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230335890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303443712).

230335890 is an abundant number, since it is smaller than the sum of its proper divisors (376551534).

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

230335890 is a wasteful number, since it uses less digits than its factorization.

230335890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 230335890 is about 15176.8208133324. The cubic root of 230335890 is about 612.9906794158.

The spelling of 230335890 in words is "two hundred thirty million, three hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 289 310 465 510 527 578 857 867 930 1054 1445 1581 1714 1734 2571 2635 2890 3162 4285 4335 5142 5270 7905 8570 8670 8959 12855 14569 15810 17918 25710 26567 26877 29138 43707 44795 53134 53754 72845 79701 87414 89590 132835 134385 145690 159402 218535 247673 265670 268770 398505 437070 451639 495346 743019 797010 903278 1238365 1354917 1486038 2258195 2476730 2709834 3715095 4516390 6774585 7430190 7677863 13549170 15355726 23033589 38389315 46067178 76778630 115167945 230335890