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95198208 = 2103719233
BaseRepresentation
bin1011010110010…
…01110000000000
320122010120101120
411223021300000
5143332320313
613240232240
72234112540
oct553116000
9218116346
1095198208
1149811906
1227a6b680
1316952001
14c901320
158556d23
hex5ac9c00

95198208 has 176 divisors, whose sum is σ = 306558720. Its totient is φ = 25657344.

The previous prime is 95198203. The next prime is 95198209. The reversal of 95198208 is 80289159.

It is a happy number.

It is a super-2 number, since 2×951982082 = 18125397612822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 95198208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95198203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408460 + ... + 408692.

Almost surely, 295198208 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 95198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

95198208 is an abundant number, since it is smaller than the sum of its proper divisors (211360512).

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

95198208 is a wasteful number, since it uses less digits than its factorization.

95198208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 95198208 is about 9756.9569026413. The cubic root of 95198208 is about 456.6073777671.

The spelling of 95198208 in words is "ninety-five million, one hundred ninety-eight thousand, two hundred eight".