Search a number
-
+
16870224 = 2437233759
BaseRepresentation
bin100000001011…
…0101101010000
31011202002121010
41000112231100
513304321344
61401330520
7263252220
oct100265520
934662533
1016870224
119582938
125796a40
1336589a7
142352080
1517338b9
hex1016b50

16870224 has 160 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 4409856.

The previous prime is 16870219. The next prime is 16870289. The reversal of 16870224 is 42207861.

It is a junction number, because it is equal to n+sod(n) for n = 16870191 and 16870200.

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, 285907 + ... + 285965.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 216870224 is an apocalyptic number.

16870224 is a gapful number since it is divisible by the number (14) 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 16870224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

16870224 is an abundant number, since it is smaller than the sum of its proper divisors (37412016).

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

16870224 is a wasteful number, since it uses less digits than its factorization.

16870224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16870224 is about 4107.3378239439. The cubic root of 16870224 is about 256.4721916587.

The spelling of 16870224 in words is "sixteen million, eight hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 37 42 46 48 56 59 69 74 84 92 111 112 118 138 148 161 168 177 184 222 236 259 276 296 322 336 354 368 413 444 472 483 518 552 592 644 708 777 826 851 888 944 966 1036 1104 1239 1288 1357 1416 1554 1652 1702 1776 1932 2072 2183 2478 2553 2576 2714 2832 3108 3304 3404 3864 4071 4144 4366 4956 5106 5428 5957 6216 6549 6608 6808 7728 8142 8732 9499 9912 10212 10856 11914 12432 13098 13616 15281 16284 17464 17871 18998 19824 20424 21712 23828 26196 28497 30562 32568 34928 35742 37996 40848 45843 47656 50209 52392 56994 61124 65136 71484 75992 91686 95312 100418 104784 113988 122248 142968 150627 151984 183372 200836 227976 244496 285936 301254 351463 366744 401672 455952 602508 702926 733488 803344 1054389 1205016 1405852 2108778 2410032 2811704 4217556 5623408 8435112 16870224