Search a number
-
+
223984649250 = 23353191819649
BaseRepresentation
bin1101000010011010000…
…1101000010000100010
3210102010212122002221000
43100212201220100202
512132210032234000
6250521440212430
722116356051055
oct3204641502042
9712125562830
10223984649250
1186a9a54a17a
12374b000a116
13181773a231b
14abab682a9c
155c5de32000
hex3426868422

223984649250 has 256 divisors, whose sum is σ = 657558720000. Its totient is φ = 56267136000.

The previous prime is 223984649237. The next prime is 223984649263. The reversal of 223984649250 is 52946489322.

223984649250 is a `hidden beast` number, since 2 + 2 + 3 + 98 + 464 + 92 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223984649237) and next prime (223984649263).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 23208426 + ... + 23218074.

It is an arithmetic number, because the mean of its divisors is an integer number (2568588750).

Almost surely, 2223984649250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223984649250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328779360000).

223984649250 is an abundant number, since it is smaller than the sum of its proper divisors (433574070750).

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

223984649250 is a wasteful number, since it uses less digits than its factorization.

223984649250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 223984649250 in words is "two hundred twenty-three billion, nine hundred eighty-four million, six hundred forty-nine thousand, two hundred fifty".