Search a number
-
+
226224432 = 24327224429
BaseRepresentation
bin11010111101111…
…10100100110000
3120202200101120200
431132332210300
5430403140212
634240435200
75414606310
oct1536764460
9522611520
10226224432
11106774845
1263918b00
1337b39915
142208b440
1514cd96dc
hexd7be930

226224432 has 60 divisors (see below), whose sum is σ = 723562320. Its totient is φ = 64635264.

The previous prime is 226224413. The next prime is 226224433. The reversal of 226224432 is 234422622.

It is a happy number.

226224432 is a `hidden beast` number, since 2 + 2 + 6 + 224 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 226224396 and 226224405.

It is not an unprimeable number, because it can be changed into a prime (226224433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111207 + ... + 113222.

It is an arithmetic number, because the mean of its divisors is an integer number (12059372).

Almost surely, 2226224432 is an apocalyptic number.

It is an amenable number.

226224432 is an abundant number, since it is smaller than the sum of its proper divisors (497337888).

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

226224432 is a wasteful number, since it uses less digits than its factorization.

226224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224450 (or 224441 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 226224432 is about 15040.7590234004. The cubic root of 226224432 is about 609.3214994608.

The spelling of 226224432 in words is "two hundred twenty-six million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 224429 448858 673287 897716 1346574 1571003 1795432 2019861 2693148 3142006 3590864 4039722 4713009 5386296 6284012 8079444 9426018 10772592 12568024 14139027 16158888 18852036 25136048 28278054 32317776 37704072 56556108 75408144 113112216 226224432