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996932200 = 2352111513001
BaseRepresentation
bin111011011010111…
…111101001101000
32120110220101212211
4323122333221220
54020203312300
6242531414504
733463532605
oct7332775150
92513811784
10996932200
11471818a10
12239a54434
1312b704a14
149658d6ac
155c7c74ba
hex3b6bfa68

996932200 has 96 divisors (see below), whose sum is σ = 2546176320. Its totient is φ = 360000000.

The previous prime is 996932197. The next prime is 996932201. The reversal of 996932200 is 2239699.

It is a super-2 number, since 2×9969322002 = 1987747622793680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (996932201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330700 + ... + 333700.

It is an arithmetic number, because the mean of its divisors is an integer number (26522670).

Almost surely, 2996932200 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 996932200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273088160).

996932200 is an abundant number, since it is smaller than the sum of its proper divisors (1549244120).

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

996932200 is a wasteful number, since it uses less digits than its factorization.

996932200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 996932200 is about 31574.2331656685. The cubic root of 996932200 is about 998.9763525033.

The spelling of 996932200 in words is "nine hundred ninety-six million, nine hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 151 200 220 275 302 440 550 604 755 1100 1208 1510 1661 2200 3001 3020 3322 3775 6002 6040 6644 7550 8305 12004 13288 15005 15100 16610 24008 30010 30200 33011 33220 41525 60020 66022 66440 75025 83050 120040 132044 150050 165055 166100 264088 300100 330110 332200 453151 600200 660220 825275 906302 1320440 1650550 1812604 2265755 3301100 3625208 4531510 4984661 6602200 9063020 9969322 11328775 18126040 19938644 22657550 24923305 39877288 45315100 49846610 90630200 99693220 124616525 199386440 249233050 498466100 996932200