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23154132210 = 23511359195443
BaseRepresentation
bin10101100100000110…
…000000010011110010
32012202122120210020020
4111210012000103302
5334404424212320
614345321224310
71446531606426
oct254406002362
965678523206
1023154132210
1199019a4260
1245a2332096
13224cca6b61
141199170b86
15907b08940
hex5641804f2

23154132210 has 64 divisors (see below), whose sum is σ = 60790901760. Its totient is φ = 5597458880.

The previous prime is 23154132187. The next prime is 23154132227. The reversal of 23154132210 is 1223145132.

It is a super-2 number, since 2×231541322102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20749 + ... + 216191.

It is an arithmetic number, because the mean of its divisors is an integer number (949857840).

Almost surely, 223154132210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23154132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30395450880).

23154132210 is an abundant number, since it is smaller than the sum of its proper divisors (37636769550).

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

23154132210 is a wasteful number, since it uses less digits than its factorization.

23154132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195823.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 23154132210 its reverse (1223145132), we get a palindrome (24377277342).

The spelling of 23154132210 in words is "twenty-three billion, one hundred fifty-four million, one hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 359 718 1077 1795 2154 3590 3949 5385 7898 10770 11847 19745 23694 39490 59235 118470 195443 390886 586329 977215 1172658 1954430 2149873 2931645 4299746 5863290 6449619 10749365 12899238 21498730 32248095 64496190 70164037 140328074 210492111 350820185 420984222 701640370 771804407 1052460555 1543608814 2104921110 2315413221 3859022035 4630826442 7718044070 11577066105 23154132210