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229826970 = 2355271349
BaseRepresentation
bin11011011001011…
…10000110011010
3121000110102100000
431230232012122
5432313430340
634445553430
75460332322
oct1554560632
9530412300
10229826970
1110880544a
1264b75876
13387cb5b9
1422748282
151529bd30
hexdb2e19a

229826970 has 96 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 60886080.

The previous prime is 229826969. The next prime is 229826977. The reversal of 229826970 is 79628922.

It is a super-2 number, since 2×2298269702 = 105640872278761800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (229826977) 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, 658356 + ... + 658704.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2229826970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229826970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

229826970 is an abundant number, since it is smaller than the sum of its proper divisors (393923430).

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

229826970 is a wasteful number, since it uses less digits than its factorization.

229826970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 229826970 is about 15160.0451846292. The cubic root of 229826970 is about 612.5388852170.

The spelling of 229826970 in words is "two hundred twenty-nine million, eight hundred twenty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 271 349 405 486 542 698 810 813 1047 1215 1355 1626 1745 2094 2430 2439 2710 3141 3490 4065 4878 5235 6282 7317 8130 9423 10470 12195 14634 15705 18846 21951 24390 28269 31410 36585 43902 47115 56538 65853 73170 84807 94230 94579 109755 131706 141345 169614 189158 219510 282690 283737 329265 424035 472895 567474 658530 848070 851211 945790 1418685 1702422 2553633 2837370 4256055 5107266 7660899 8512110 12768165 15321798 22982697 25536330 38304495 45965394 76608990 114913485 229826970