Search a number
-
+
23601114225 = 32521329278233
BaseRepresentation
bin10101111110101111…
…000110110001110001
32020220210122211021200
4111332233012301301
5341313341123400
614501525441413
71463600106123
oct257657066161
966823584250
1023601114225
11a011239487
1246a7b70269
1322c1787c60
1411dc685213
15931e9cb00
hex57ebc6c71

23601114225 has 72 divisors (see below), whose sum is σ = 47093886840. Its totient is φ = 11218314240.

The previous prime is 23601114211. The next prime is 23601114241. The reversal of 23601114225 is 52241110632.

23601114225 is a `hidden beast` number, since 2 + 3 + 601 + 11 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10697971761 + 12903142464 = 103431^2 + 113592^2 .

It is not a de Polignac number, because 23601114225 - 28 = 23601113969 is a prime.

It is a super-2 number, since 2×236011142252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54292 + ... + 223941.

Almost surely, 223601114225 is an apocalyptic number.

23601114225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23601114225 is a deficient number, since it is larger than the sum of its proper divisors (23492772615).

23601114225 is a wasteful number, since it uses less digits than its factorization.

23601114225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278291 (or 278283 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 23601114225 its reverse (52241110632), we get a palindrome (75842224857).

The spelling of 23601114225 in words is "twenty-three billion, six hundred one million, one hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2925 3393 5655 6525 9425 16965 28275 84825 278233 834699 1391165 2504097 3617029 4173495 6955825 8068757 10851087 12520485 18085145 20867475 24206271 32553261 40343785 54255435 62602425 72618813 90425725 104893841 121031355 162766305 201718925 271277175 314681523 363094065 524469205 605156775 813831525 944044569 1573407615 1815470325 2622346025 4720222845 7867038075 23601114225