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2221121000232 = 23325910117928921
BaseRepresentation
bin100000010100100101001…
…000001101001100101000
321212100002202000111221100
4200110211020031030220
5242342323434001412
64420211403241400
7316320306665151
oct40244510151450
97770082014840
102221121000232
11786a7699a082
122ba574b19260
131315b2582604
1479707aa0928
153cb9a800edc
hex2052520d328

2221121000232 has 192 divisors, whose sum is σ = 6212792664000. Its totient is φ = 716568192000.

The previous prime is 2221121000227. The next prime is 2221121000239. The reversal of 2221121000232 is 2320001211222.

2221121000232 is a `hidden beast` number, since 2 + 221 + 1 + 210 + 0 + 0 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2221121000239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76785132 + ... + 76814052.

It is an arithmetic number, because the mean of its divisors is an integer number (32358295125).

Almost surely, 22221121000232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221121000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106396332000).

2221121000232 is an abundant number, since it is smaller than the sum of its proper divisors (3991671663768).

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

2221121000232 is a wasteful number, since it uses less digits than its factorization.

2221121000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272 (or 29265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2221121000232 its reverse (2320001211222), we get a palindrome (4541122211454).

The spelling of 2221121000232 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thirty-two", and thus it is an aban number.