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226716048 = 243213163743
BaseRepresentation
bin11011000001101…
…10100110010000
3120210121100221200
431200312212100
5431014403143
634255151200
75422024506
oct1540664620
9523540850
10226716048
11106a80139
1263b15500
1337c7c610
1422178676
1514d851d3
hexd836990

226716048 has 120 divisors (see below), whose sum is σ = 688414272. Its totient is φ = 69237504.

The previous prime is 226716047. The next prime is 226716053. The reversal of 226716048 is 840617622.

226716048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226716041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304765 + ... + 305507.

Almost surely, 2226716048 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 226716048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344207136).

226716048 is an abundant number, since it is smaller than the sum of its proper divisors (461698224).

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

226716048 is a wasteful number, since it uses less digits than its factorization.

226716048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 226716048 is about 15057.0929465153. The cubic root of 226716048 is about 609.7625592058.

The spelling of 226716048 in words is "two hundred twenty-six million, seven hundred sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 163 208 234 312 326 468 489 624 652 743 936 978 1304 1467 1486 1872 1956 2119 2229 2608 2934 2972 3912 4238 4458 5868 5944 6357 6687 7824 8476 8916 9659 11736 11888 12714 13374 16952 17832 19071 19318 23472 25428 26748 28977 33904 35664 38142 38636 50856 53496 57954 76284 77272 86931 101712 106992 115908 121109 152568 154544 173862 231816 242218 305136 347724 363327 463632 484436 695448 726654 968872 1089981 1390896 1453308 1574417 1937744 2179962 2906616 3148834 4359924 4723251 5813232 6297668 8719848 9446502 12595336 14169753 17439696 18893004 25190672 28339506 37786008 56679012 75572016 113358024 226716048