Search a number
-
+
83342200 = 23521313181
BaseRepresentation
bin1001111011110…
…11001101111000
312210211020000011
410331323031320
5132313422300
612134151304
72031253114
oct475731570
9183736004
1083342200
1143054257
1223ab2534
1314360716
14b0d6744
1574b3eba
hex4f7b378

83342200 has 48 divisors (see below), whose sum is σ = 195311160. Its totient is φ = 33072000.

The previous prime is 83342191. The next prime is 83342219. The reversal of 83342200 is 224338.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24610 + ... + 27790.

Almost surely, 283342200 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 83342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97655580).

83342200 is an abundant number, since it is smaller than the sum of its proper divisors (111968960).

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

83342200 is a wasteful number, since it uses less digits than its factorization.

83342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 83342200 is about 9129.1949261696. The cubic root of 83342200 is about 436.8057233123.

Adding to 83342200 its reverse (224338), we get a palindrome (83566538).

The spelling of 83342200 in words is "eighty-three million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3181 3275 5240 6362 6550 12724 13100 15905 25448 26200 31810 63620 79525 127240 159050 318100 416711 636200 833422 1666844 2083555 3333688 4167110 8334220 10417775 16668440 20835550 41671100 83342200