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11220222000 = 24353131967113
BaseRepresentation
bin10100111001100011…
…10000000000110000
31001221221211100000210
422130301300000300
5140434334101000
65053212144120
7545022212331
oct123461600060
931857740023
1011220222000
114838582949
122211768040
13109a742120
14786238288
1545a090350
hex29cc70030

11220222000 has 640 divisors, whose sum is σ = 41987312640. Its totient is φ = 2554675200.

The previous prime is 11220221963. The next prime is 11220222001. The reversal of 11220222000 is 22202211.

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

It is not an unprimeable number, because it can be changed into a prime (11220222001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99293944 + ... + 99294056.

It is an arithmetic number, because the mean of its divisors is an integer number (65605176).

Almost surely, 211220222000 is an apocalyptic number.

11220222000 is a gapful number since it is divisible by the number (10) 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 11220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993656320).

11220222000 is an abundant number, since it is smaller than the sum of its proper divisors (30767090640).

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

11220222000 is a wasteful number, since it uses less digits than its factorization.

11220222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11220222000 its reverse (22202211), we get a palindrome (11242424211).

The spelling of 11220222000 in words is "eleven billion, two hundred twenty million, two hundred twenty-two thousand".