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13522230432 = 253229255829
BaseRepresentation
bin11001001011111110…
…01101110010100000
31021220101110110221100
430211333031302200
5210143142333212
610113444154400
7656044030224
oct144577156240
937811413840
1013522230432
115809a45957
122754698a00
13137663b4a9
14923c6a784
1554220bbdc
hex325fcdca0

13522230432 has 108 divisors (see below), whose sum is σ = 39826274670. Its totient is φ = 4351904256.

The previous prime is 13522230427. The next prime is 13522230497. The reversal of 13522230432 is 23403222531.

13522230432 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 223 + 0 + 432 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11439585936 + 2082644496 = 106956^2 + 45636^2 .

It is a super-2 number, since 2×135222304322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13522230396 and 13522230405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214294 + ... + 270122.

Almost surely, 213522230432 is an apocalyptic number.

13522230432 is a gapful number since it is divisible by the number (12) 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 13522230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913137335).

13522230432 is an abundant number, since it is smaller than the sum of its proper divisors (26304044238).

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

13522230432 is a wasteful number, since it uses less digits than its factorization.

13522230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55903 (or 55863 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13522230432 its reverse (23403222531), we get a palindrome (36925452963).

The spelling of 13522230432 in words is "thirteen billion, five hundred twenty-two million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 841 928 1044 1392 1682 2088 2523 2784 3364 4176 5046 6728 7569 8352 10092 13456 15138 20184 26912 30276 40368 55829 60552 80736 111658 121104 167487 223316 242208 334974 446632 502461 669948 893264 1004922 1339896 1619041 1786528 2009844 2679792 3238082 4019688 4857123 5359584 6476164 8039376 9714246 12952328 14571369 16078752 19428492 25904656 29142738 38856984 46952189 51809312 58285476 77713968 93904378 116570952 140856567 155427936 187808756 233141904 281713134 375617512 422569701 466283808 563426268 751235024 845139402 1126852536 1502470048 1690278804 2253705072 3380557608 4507410144 6761115216 13522230432