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224169656956 = 227233103933071
BaseRepresentation
bin1101000011000110001…
…1011000001001111100
3210102121202202110210021
43100301203120021330
512133044413010311
6250552045421524
722124063434120
oct3206143301174
9712552673707
10224169656956
1187084a22203
1237541b6a8a4
13181a680a63b
14abc8081580
155c702c9171
hex34318d827c

224169656956 has 48 divisors (see below), whose sum is σ = 450710507520. Its totient is φ = 95565421440.

The previous prime is 224169656899. The next prime is 224169656983. The reversal of 224169656956 is 659656961422.

It is a junction number, because it is equal to n+sod(n) for n = 224169656894 and 224169656903.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6761901 + ... + 6794971.

It is an arithmetic number, because the mean of its divisors is an integer number (9389802240).

Almost surely, 2224169656956 is an apocalyptic number.

It is an amenable number.

224169656956 is an abundant number, since it is smaller than the sum of its proper divisors (226540850564).

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

224169656956 is a wasteful number, since it uses less digits than its factorization.

224169656956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34354 (or 34352 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 61.

The spelling of 224169656956 in words is "two hundred twenty-four billion, one hundred sixty-nine million, six hundred fifty-six thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 233 466 932 1039 1631 2078 3262 4156 6524 7273 14546 29092 33071 66142 132284 231497 242087 462994 484174 925988 968348 1694609 3389218 6778436 7705543 15411086 30822172 34360769 53938801 68721538 107877602 137443076 215755204 240525383 481050766 962101532 8006059177 16012118354 32024236708 56042414239 112084828478 224169656956