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223010001000 = 233253232311511
BaseRepresentation
bin1100111110110001101…
…1101001000001101000
3210022121221122211212200
43033230123221001220
512123211030013000
6250241022140200
722053252506013
oct3175433510150
9708557584780
10223010001000
118663a371556
1237279721660
13180504a0497
14ab1805437a
155c035ac500
hex33ec6e9068

223010001000 has 576 divisors, whose sum is σ = 813928227840. Its totient is φ = 55012320000.

The previous prime is 223010000921. The next prime is 223010001007. The reversal of 223010001000 is 100010322.

It is a happy number.

223010001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (223010001007) 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 143 ways as a sum of consecutive naturals, for example, 147590245 + ... + 147591755.

It is an arithmetic number, because the mean of its divisors is an integer number (1413069840).

Almost surely, 2223010001000 is an apocalyptic number.

223010001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406964113920).

223010001000 is an abundant number, since it is smaller than the sum of its proper divisors (590918226840).

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

223010001000 is a wasteful number, since it uses less digits than its factorization.

223010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 223010001000 its reverse (100010322), we get a palindrome (223110011322).

The spelling of 223010001000 in words is "two hundred twenty-three billion, ten million, one thousand".