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229116634992 = 2434725255361
BaseRepresentation
bin1101010101100001101…
…0100110011101110000
3210220101112100222220000
43111120122212131300
512223212324304432
6253131004350000
722360503156450
oct3253032463560
9726345328800
10229116634992
1189193405003
12384a2845300
13187b469348b
14b13709dd60
155e5e75a57c
hex35586a6770

229116634992 has 100 divisors (see below), whose sum is σ = 757862902896. Its totient is φ = 65461893120.

The previous prime is 229116634963. The next prime is 229116635017. The reversal of 229116634992 is 299436611922.

229116634992 is a `hidden beast` number, since 2 + 2 + 91 + 1 + 6 + 63 + 499 + 2 = 666.

229116634992 is digitally balanced in base 2, 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 (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12618609 + ... + 12636752.

Almost surely, 2229116634992 is an apocalyptic number.

It is an amenable number.

229116634992 is an abundant number, since it is smaller than the sum of its proper divisors (528746267904).

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

229116634992 is a wasteful number, since it uses less digits than its factorization.

229116634992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25255388 (or 25255373 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 229116634992 in words is "two hundred twenty-nine billion, one hundred sixteen million, six hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 25255361 50510722 75766083 101021444 151532166 176787527 202042888 227298249 303064332 353575054 404085776 454596498 530362581 606128664 681894747 707150108 909192996 1060725162 1212257328 1363789494 1414300216 1591087743 1818385992 2045684241 2121450324 2727578988 2828600432 3182175486 3636771984 4091368482 4242900648 4773263229 5455157976 6364350972 8182736964 8485801296 9546526458 10910315952 12728701944 14319789687 16365473928 19093052916 25457403888 28639579374 32730947856 38186105832 57279158748 76372211664 114558317496 229116634992