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83022940 = 225711213229
BaseRepresentation
bin1001111001011…
…01010001011100
312210020000001201
410330231101130
5132223213230
612123245244
72025453250
oct474552134
9183200051
1083022940
1142956400
1223979824
131427b300
14b052260
15744e5ca
hex4f2d45c

83022940 has 216 divisors, whose sum is σ = 245337120. Its totient is φ = 23063040.

The previous prime is 83022899. The next prime is 83022941. The reversal of 83022940 is 4922038.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83022899 and 83022908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83022941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2862846 + ... + 2862874.

It is an arithmetic number, because the mean of its divisors is an integer number (1135820).

Almost surely, 283022940 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 83022940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668560).

83022940 is an abundant number, since it is smaller than the sum of its proper divisors (162314180).

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

83022940 is a wasteful number, since it uses less digits than its factorization.

83022940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 83022940 is about 9111.6924882263. The cubic root of 83022940 is about 436.2472505526.

Adding to 83022940 its reverse (4922038), we get a palindrome (87944978).

The spelling of 83022940 in words is "eighty-three million, twenty-two thousand, nine hundred forty".