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229870608 = 243114759157
BaseRepresentation
bin11011011001110…
…00110000010000
3121000112122012020
431230320300100
5432321324413
634450531440
75460603462
oct1554706020
9530478166
10229870608
11108835210
1264b96b80
1338815416
142275a132
15152a9c23
hexdb38c10

229870608 has 160 divisors (see below), whose sum is σ = 677099520. Its totient is φ = 66593280.

The previous prime is 229870591. The next prime is 229870609. The reversal of 229870608 is 806078922.

It is a happy number.

229870608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 229870608.

It is not an unprimeable number, because it can be changed into a prime (229870609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464066 + ... + 1464222.

It is an arithmetic number, because the mean of its divisors is an integer number (4231872).

Almost surely, 2229870608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229870608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338549760).

229870608 is an abundant number, since it is smaller than the sum of its proper divisors (447228912).

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

229870608 is a wasteful number, since it uses less digits than its factorization.

229870608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 229870608 is about 15161.4843600487. The cubic root of 229870608 is about 612.5776510187.

The spelling of 229870608 in words is "two hundred twenty-nine million, eight hundred seventy thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 59 66 88 94 118 132 141 157 176 177 188 236 264 282 314 354 376 471 472 517 528 564 628 649 708 752 942 944 1034 1128 1256 1298 1416 1551 1727 1884 1947 2068 2256 2512 2596 2773 2832 3102 3454 3768 3894 4136 5181 5192 5546 6204 6908 7379 7536 7788 8272 8319 9263 10362 10384 11092 12408 13816 14758 15576 16638 18526 20724 22137 22184 24816 27632 27789 29516 30503 31152 33276 37052 41448 44274 44368 55578 59032 61006 66552 74104 81169 82896 88548 91509 101893 111156 118064 122012 133104 148208 162338 177096 183018 203786 222312 243507 244024 305679 324676 354192 366036 407572 435361 444624 487014 488048 611358 649352 732072 815144 870722 974028 1222716 1298704 1306083 1464144 1630288 1741444 1948056 2445432 2612166 3482888 3896112 4788971 4890864 5224332 6965776 9577942 10448664 14366913 19155884 20897328 28733826 38311768 57467652 76623536 114935304 229870608