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23004214272 = 2103313292207
BaseRepresentation
bin10101011011001010…
…000111010000000000
32012101012111011111000
4111123022013100000
5334103034324042
614322404052000
71443031411044
oct253312072000
965335434430
1023004214272
119835308736
124560094000
132227c06410
1411832a8024
158e989374c
hex55b287400

23004214272 has 352 divisors, whose sum is σ = 75932236800. Its totient is φ = 6831046656.

The previous prime is 23004214271. The next prime is 23004214291. The reversal of 23004214272 is 27241240032.

23004214272 is a `hidden beast` number, since 230 + 0 + 4 + 2 + 1 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004214271) by changing a digit.

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, 10422193 + ... + 10424399.

Almost surely, 223004214272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23004214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966118400).

23004214272 is an abundant number, since it is smaller than the sum of its proper divisors (52928022528).

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

23004214272 is a wasteful number, since it uses less digits than its factorization.

23004214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 23004214272 in words is "twenty-three billion, four million, two hundred fourteen thousand, two hundred seventy-two".