Search a number
-
+
226356048 = 24323150707
BaseRepresentation
bin11010111110111…
…10101101010000
3120202221002010100
431133132231100
5430421343143
634243332400
75415665112
oct1537365520
9522832110
10226356048
11106854716
1263981100
1337b847b9
14220c33b2
1514d136d3
hexd7deb50

226356048 has 60 divisors (see below), whose sum is σ = 653930368. Its totient is φ = 73016640.

The previous prime is 226356043. The next prime is 226356113. The reversal of 226356048 is 840653622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226356043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20890 + ... + 29817.

Almost surely, 2226356048 is an apocalyptic number.

It is an amenable number.

226356048 is an abundant number, since it is smaller than the sum of its proper divisors (427574320).

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

226356048 is a wasteful number, since it uses less digits than its factorization.

226356048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50752 (or 50743 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226356048 is about 15045.1336983092. The cubic root of 226356048 is about 609.4396430674.

It can be divided in two parts, 2263 and 56048, that added together give a triangular number (58311 = T341).

The spelling of 226356048 in words is "two hundred twenty-six million, three hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 50707 101414 152121 202828 304242 405656 456363 608484 811312 912726 1216968 1571917 1825452 2433936 3143834 3650904 4715751 6287668 7301808 9431502 12575336 14147253 18863004 25150672 28294506 37726008 56589012 75452016 113178024 226356048