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226334088 = 23361972
BaseRepresentation
bin11010111110110…
…01010110001000
3120202212222000000
431133121112020
5430420142323
634243043000
75415544101
oct1537312610
9522788000
10226334088
1110683a172
1263970460
1337b777c6
14220b93a8
1514d0be43
hexd7d9588

226334088 has 84 divisors (see below), whose sum is σ = 639519765. Its totient is φ = 75061728.

The previous prime is 226334083. The next prime is 226334123. The reversal of 226334088 is 880433622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 145009764 + 81324324 = 12042^2 + 9018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10638.

It is a super-3 number, since 3×2263340883 (a number of 26 digits) contains 333 as substring.

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 (226334081) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1148806 + ... + 1149002.

Almost surely, 2226334088 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 226334088

226334088 is an abundant number, since it is smaller than the sum of its proper divisors (413185677).

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

226334088 is an frugal number, since it uses more digits than its factorization.

226334088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226334088 is about 15044.4038765250. The cubic root of 226334088 is about 609.4199341067.

The spelling of 226334088 in words is "two hundred twenty-six million, three hundred thirty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 243 324 394 486 591 648 729 788 972 1182 1458 1576 1773 1944 2364 2916 3546 4728 5319 5832 7092 10638 14184 15957 21276 31914 38809 42552 47871 63828 77618 95742 116427 127656 143613 155236 191484 232854 287226 310472 349281 382968 465708 574452 698562 931416 1047843 1148904 1397124 2095686 2794248 3143529 4191372 6287058 8382744 9430587 12574116 18861174 25148232 28291761 37722348 56583522 75444696 113167044 226334088