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23402010320 = 2451322501933
BaseRepresentation
bin10101110010110111…
…100101011011010000
32020101221000022001222
4111302313211123100
5340411403312240
614430054144212
71455631543223
oct256267453320
966357008058
1023402010320
119a199087a7
124651352068
13228c4557b0
1411c00575ba
1591e76deb5
hex572de56d0

23402010320 has 40 divisors (see below), whose sum is σ = 58595036136. Its totient is φ = 8640741888.

The previous prime is 23402010301. The next prime is 23402010323. The reversal of 23402010320 is 2301020432.

It can be written as a sum of positive squares in 4 ways, for example, as 3326520976 + 20075489344 = 57676^2 + 141688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402010323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11249927 + ... + 11252006.

Almost surely, 223402010320 is an apocalyptic number.

23402010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23402010320 is an abundant number, since it is smaller than the sum of its proper divisors (35193025816).

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

23402010320 is a wasteful number, since it uses less digits than its factorization.

23402010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501959 (or 22501953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23402010320 its reverse (2301020432), we get a palindrome (25703030752).

The spelling of 23402010320 in words is "twenty-three billion, four hundred two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 22501933 45003866 90007732 112509665 180015464 225019330 292525129 360030928 450038660 585050258 900077320 1170100516 1462625645 1800154640 2340201032 2925251290 4680402064 5850502580 11701005160 23402010320