Search a number
-
+
23267900144 = 2431169927611
BaseRepresentation
bin10101101010110111…
…111111101011110000
32020001120122210111102
4111222313333223300
5340123040301034
614404503503532
71452412613366
oct255267775360
966046583442
1023267900144
119960139845
124614457ba8
13226a72b268
1411aa307636
15912acc97e
hex56adffaf0

23267900144 has 40 divisors (see below), whose sum is σ = 46564876800. Its totient is φ = 11251627200.

The previous prime is 23267900143. The next prime is 23267900147. The reversal of 23267900144 is 44100976232.

It is a super-2 number, since 2×232679001442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23267900098 and 23267900107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23267900141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828899 + ... + 856509.

It is an arithmetic number, because the mean of its divisors is an integer number (1164121920).

Almost surely, 223267900144 is an apocalyptic number.

It is an amenable number.

23267900144 is an abundant number, since it is smaller than the sum of its proper divisors (23296976656).

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

23267900144 is a wasteful number, since it uses less digits than its factorization.

23267900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29349 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 23267900144 in words is "twenty-three billion, two hundred sixty-seven million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 1699 3398 6796 13592 27184 27611 52669 55222 105338 110444 210676 220888 421352 441776 842704 855941 1711882 3423764 6847528 13695056 46911089 93822178 187644356 375288712 750577424 1454243759 2908487518 5816975036 11633950072 23267900144