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83220696 = 2335133789
BaseRepresentation
bin1001111010111…
…01100011011000
312210121001100000
410331131203120
5132301030241
612131413000
72030235636
oct475354330
9183531300
1083220696
1142a80a39
1223a54160
131431a320
14b0a4356
15748ceb6
hex4f5d8d8

83220696 has 192 divisors, whose sum is σ = 261424800. Its totient is φ = 24634368.

The previous prime is 83220649. The next prime is 83220713. The reversal of 83220696 is 69602238.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83220696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935020 + ... + 935108.

Almost surely, 283220696 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 83220696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

83220696 is an abundant number, since it is smaller than the sum of its proper divisors (178204104).

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

83220696 is a wasteful number, since it uses less digits than its factorization.

83220696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83220696 is about 9122.5378047997. The cubic root of 83220696 is about 436.5933480874.

It can be divided in two parts, 832 and 20696, that added together give a triangular number (21528 = T207).

The spelling of 83220696 in words is "eighty-three million, two hundred twenty thousand, six hundred ninety-six".