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20130222000 = 2435373115461
BaseRepresentation
bin10010101111110110…
…101100111110110000
31220221220120020020210
4102233312230332300
5312211314101000
613125300304120
71311563030610
oct225766547660
956856506223
1020130222000
11859aa92809
123a996a2040
131b8a670485
14d8d702a40
157cc3e0350
hex4afdacfb0

20130222000 has 320 divisors, whose sum is σ = 76568813568. Its totient is φ = 4452480000.

The previous prime is 20130221983. The next prime is 20130222037. The reversal of 20130222000 is 22203102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294270 + ... + 1309730.

Almost surely, 220130222000 is an apocalyptic number.

20130222000 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 20130222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284406784).

20130222000 is an abundant number, since it is smaller than the sum of its proper divisors (56438591568).

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

20130222000 is a wasteful number, since it uses less digits than its factorization.

20130222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15525 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20130222000 its reverse (22203102), we get a palindrome (20152425102).

The spelling of 20130222000 in words is "twenty billion, one hundred thirty million, two hundred twenty-two thousand".