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181336968 = 2334234
BaseRepresentation
bin10101100111011…
…11101110001000
3110122012212120000
422303233232020
5332410240333
625554403000
74331224131
oct1263575610
9418185500
10181336968
11933a616a
1250890460
132b7515a7
141a124c88
1510dbe713
hexacefb88

181336968 has 100 divisors (see below), whose sum is σ = 530998215. Its totient is φ = 57817584.

The previous prime is 181336937. The next prime is 181336979. The reversal of 181336968 is 869633181.

It is a happy number.

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.

181336968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 90668484 = 9522^2 + 9522^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 7884205 + ... + 7884227.

Almost surely, 2181336968 is an apocalyptic number.

181336968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181336968

181336968 is an abundant number, since it is smaller than the sum of its proper divisors (349661247).

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

181336968 is an frugal number, since it uses more digits than its factorization.

181336968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 28 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 181336968 is about 13466.1415409166. The cubic root of 181336968 is about 566.0160982989.

It can be divided in two parts, 1813 and 36968, that added together give a triangular number (38781 = T278).

The spelling of 181336968 in words is "one hundred eighty-one million, three hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 529 552 621 648 828 1058 1242 1587 1656 1863 2116 2484 3174 3726 4232 4761 4968 6348 7452 9522 12167 12696 14283 14904 19044 24334 28566 36501 38088 42849 48668 57132 73002 85698 97336 109503 114264 146004 171396 219006 279841 292008 328509 342792 438012 559682 657018 839523 876024 985527 1119364 1314036 1679046 1971054 2238728 2518569 2628072 3358092 3942108 5037138 6716184 7555707 7884216 10074276 15111414 20148552 22667121 30222828 45334242 60445656 90668484 181336968