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11233221000 = 2335341271337
BaseRepresentation
bin10100111011000110…
…10101100110001000
31001222212021202022020
422131203111212020
5141001201033000
65054354524440
7545240542311
oct123543254610
931885252266
1011233221000
114844951221
122215b96720
1310a0343a41
14787c5d608
1545b2abba0
hex29d8d5988

11233221000 has 256 divisors, whose sum is σ = 36141880320. Its totient is φ = 2903040000.

The previous prime is 11233220989. The next prime is 11233221001. The reversal of 11233221000 is 12233211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11233221001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33332832 + ... + 33333168.

It is an arithmetic number, because the mean of its divisors is an integer number (141179220).

Almost surely, 211233221000 is an apocalyptic number.

11233221000 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 11233221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070940160).

11233221000 is an abundant number, since it is smaller than the sum of its proper divisors (24908659320).

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

11233221000 is a wasteful number, since it uses less digits than its factorization.

11233221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11233221000 its reverse (12233211), we get a palindrome (11245454211).

The spelling of 11233221000 in words is "eleven billion, two hundred thirty-three million, two hundred twenty-one thousand".