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223406130000 = 24354234153149
BaseRepresentation
bin1101000000010000001…
…0110000001101010000
3210100122120001021201010
43100010002300031100
512130013432130000
6250344212410520
722066132526034
oct3200402601520
9710576037633
10223406130000
1186822a33099
123736a316a40
13180b4587b41
14ab548cc1c4
155c28258d50
hex34040b0350

223406130000 has 800 divisors, whose sum is σ = 790711891200. Its totient is φ = 54179840000.

The previous prime is 223406129971. The next prime is 223406130019. The reversal of 223406130000 is 31604322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1499369926 + ... + 1499370074.

It is an arithmetic number, because the mean of its divisors is an integer number (988389864).

Almost surely, 2223406130000 is an apocalyptic number.

223406130000 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 223406130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395355945600).

223406130000 is an abundant number, since it is smaller than the sum of its proper divisors (567305761200).

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

223406130000 is a wasteful number, since it uses less digits than its factorization.

223406130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223406130000 its reverse (31604322), we get a palindrome (223437734322).

The spelling of 223406130000 in words is "two hundred twenty-three billion, four hundred six million, one hundred thirty thousand".