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23032200114 = 23271197171317
BaseRepresentation
bin10101011100110100…
…110111101110110010
32012110011010222211200
4111130310313232302
5334132220400424
614325243552030
71443521320320
oct253464675662
965404128750
1023032200114
11984a092930
12456952b616
1322309546a1
141186cb0d10
158ec0708c9
hex55cd37bb2

23032200114 has 96 divisors (see below), whose sum is σ = 62858630016. Its totient is φ = 5920680960.

The previous prime is 23032200109. The next prime is 23032200119. The reversal of 23032200114 is 41100223032.

23032200114 is a `hidden beast` number, since 230 + 322 + 0 + 0 + 114 = 666.

It is an interprime number because it is at equal distance from previous prime (23032200109) and next prime (23032200119).

It is a super-2 number, since 2×230322001142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23032200119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48784 + ... + 220100.

It is an arithmetic number, because the mean of its divisors is an integer number (654777396).

Almost surely, 223032200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23032200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31429315008).

23032200114 is an abundant number, since it is smaller than the sum of its proper divisors (39826429902).

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

23032200114 is a wasteful number, since it uses less digits than its factorization.

23032200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171440 (or 171437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23032200114 its reverse (41100223032), we get a palindrome (64132423146).

The spelling of 23032200114 in words is "twenty-three billion, thirty-two million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 97 99 126 154 194 198 231 291 462 582 679 693 873 1067 1358 1386 1746 2037 2134 3201 4074 6111 6402 7469 9603 12222 14938 19206 22407 44814 67221 134442 171317 342634 513951 1027902 1199219 1541853 1884487 2398438 3083706 3597657 3768974 5653461 7195314 10792971 11306922 13191409 16617749 16960383 21585942 26382818 33235498 33920766 39574227 49853247 79148454 99706494 116324243 118722681 149559741 182795239 232648486 237445362 299119482 348972729 365590478 548385717 697945458 1046918187 1096771434 1279566673 1645157151 2093836374 2559133346 3290314302 3838700019 7677400038 11516100057 23032200114