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223123060152 = 23327191147911
BaseRepresentation
bin1100111111001100101…
…0111011010110111000
3210022220211101211212200
43033303022323112320
512123424000411102
6250300141310200
722056124501356
oct3176312732670
9708824354780
10223123060152
1186698172573
12372ab565360
131806aa370a5
14ab290847d6
155c0d49151c
hex33f32bb5b8

223123060152 has 96 divisors (see below), whose sum is σ = 613488245760. Its totient is φ = 73244808000.

The previous prime is 223123060141. The next prime is 223123060159. The reversal of 223123060152 is 251060321322.

It is a happy number.

223123060152 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 2 + 3 + 0 + 601 + 52 = 666.

It is a super-3 number, since 3×2231230601523 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223123060159) 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 23 ways as a sum of consecutive naturals, for example, 4633077 + ... + 4680987.

It is an arithmetic number, because the mean of its divisors is an integer number (6390502560).

Almost surely, 2223123060152 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 223123060152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306744122880).

223123060152 is an abundant number, since it is smaller than the sum of its proper divisors (390365185608).

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

223123060152 is a wasteful number, since it uses less digits than its factorization.

223123060152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48905 (or 48898 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 223123060152 its reverse (251060321322), we get a palindrome (474183381474).

The spelling of 223123060152 in words is "two hundred twenty-three billion, one hundred twenty-three million, sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 911 1278 1704 1822 2556 2733 3644 5112 5466 7288 8199 10932 16398 21864 32796 47911 64681 65592 95822 129362 143733 191644 194043 258724 287466 383288 388086 431199 517448 574932 582129 776172 862398 1149864 1164258 1552344 1724796 2328516 3401681 3449592 4657032 6803362 10205043 13606724 20410086 27213448 30615129 40820172 43646921 61230258 81640344 87293842 122460516 130940763 174587684 244921032 261881526 349175368 392822289 523763052 785644578 1047526104 1571289156 3098931391 3142578312 6197862782 9296794173 12395725564 18593588346 24791451128 27890382519 37187176692 55780765038 74374353384 111561530076 223123060152