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83222020 = 22571374339
BaseRepresentation
bin1001111010111…
…01111000000100
312210121010011001
410331131320010
5132301101040
612131423044
72030242540
oct475357004
9183533131
1083222020
1142a81a32
1223a54a84
131431aacb
14b0a4a20
15748d59a
hex4f5de04

83222020 has 48 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 28318464.

The previous prime is 83222003. The next prime is 83222047. The reversal of 83222020 is 2022238.

It is a super-2 number, since 2×832220202 = 13851809225760800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17011 + ... + 21349.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 283222020 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 83222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

83222020 is an abundant number, since it is smaller than the sum of its proper divisors (118015100).

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

83222020 is a wasteful number, since it uses less digits than its factorization.

83222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 83222020 is about 9122.6103720372. The cubic root of 83222020 is about 436.5956634030.

Adding to 83222020 its reverse (2022238), we get a palindrome (85244258).

The spelling of 83222020 in words is "eighty-three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4339 4795 8678 9590 17356 19180 21695 30373 43390 60746 86780 121492 151865 303730 594443 607460 1188886 2377772 2972215 4161101 5944430 8322202 11888860 16644404 20805505 41611010 83222020