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2232012000 = 25353238087
BaseRepresentation
bin1000010100001001…
…1100110011100000
312202112220221212010
42011002130303200
514032343341000
61005251432520
7106211534421
oct20502346340
95675827763
102232012000
11a45a04719
125235b5740
1329755c37a
14172611648
15d0e41d50
hex8509cce0

2232012000 has 192 divisors, whose sum is σ = 7630930944. Its totient is φ = 569254400.

The previous prime is 2232011993. The next prime is 2232012017. The reversal of 2232012000 is 2102322.

It is a super-3 number, since 3×22320120003 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271957 + ... + 280043.

It is an arithmetic number, because the mean of its divisors is an integer number (39744432).

Almost surely, 22232012000 is an apocalyptic number.

2232012000 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 2232012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815465472).

2232012000 is an abundant number, since it is smaller than the sum of its proper divisors (5398918944).

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

2232012000 is a wasteful number, since it uses less digits than its factorization.

2232012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8120 counting only the distinct ones).

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

The square root of 2232012000 is about 47244.1742440272. The cubic root of 2232012000 is about 1306.8693574689.

Adding to 2232012000 its reverse (2102322), we get a palindrome (2234114322).

The spelling of 2232012000 in words is "two billion, two hundred thirty-two million, twelve thousand".