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2113223000 = 23537361101
BaseRepresentation
bin111110111110101…
…0011100101011000
312110021101211222112
41331331103211120
513311441114000
6545405411452
7103240046000
oct17575234530
95407354875
102113223000
1199494a799
124ab869b88
13278a6a715
1416092d000
15c57ca235
hex7df53958

2113223000 has 256 divisors, whose sum is σ = 5919264000. Its totient is φ = 705600000.

The previous prime is 2113222999. The next prime is 2113223009. The reversal of 2113223000 is 3223112.

It is a happy number.

It is a super-2 number, since 2×21132230002 = 8931422895458000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113223009) 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 63 ways as a sum of consecutive naturals, for example, 20922950 + ... + 20923050.

It is an arithmetic number, because the mean of its divisors is an integer number (23122125).

Almost surely, 22113223000 is an apocalyptic number.

2113223000 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 2113223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959632000).

2113223000 is an abundant number, since it is smaller than the sum of its proper divisors (3806041000).

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

2113223000 is a wasteful number, since it uses less digits than its factorization.

2113223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2113223000 is about 45969.8053073972. The cubic root of 2113223000 is about 1283.2613366405.

Adding to 2113223000 its reverse (3223112), we get a palindrome (2116446112).

The spelling of 2113223000 in words is "two billion, one hundred thirteen million, two hundred twenty-three thousand".