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99666500 = 2253533761
BaseRepresentation
bin1011111000011…
…00101001000100
320221112120201212
411330030221010
5201003312000
613520110552
72320102613
oct574145104
9227476655
1099666500
1151293a0a
1229465458
1317857a7b
14d34587a
158b3ac35
hex5f0ca44

99666500 has 48 divisors (see below), whose sum is σ = 221837616. Its totient is φ = 39104000.

The previous prime is 99666499. The next prime is 99666527. The reversal of 99666500 is 566699.

It can be written as a sum of positive squares in 8 ways, for example, as 24462916 + 75203584 = 4946^2 + 8672^2 .

It is a super-2 number, since 2×996665002 = 19866822444500000, which contains 22 as substring.

It is a nialpdrome in base 10.

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, 24620 + ... + 28380.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617).

Almost surely, 299666500 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 99666500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918808).

99666500 is an abundant number, since it is smaller than the sum of its proper divisors (122171116).

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

99666500 is a wasteful number, since it uses less digits than its factorization.

99666500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 99666500 is about 9983.3110739874. The cubic root of 99666500 is about 463.6423187286.

The spelling of 99666500 in words is "ninety-nine million, six hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 3761 5300 6625 7522 13250 15044 18805 26500 37610 75220 94025 188050 199333 376100 398666 470125 797332 940250 996665 1880500 1993330 3986660 4983325 9966650 19933300 24916625 49833250 99666500