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99422400 = 26352711269
BaseRepresentation
bin1011110110100…
…01000011000000
320221002011220010
411323101003000
5200423004100
613510544520
72315035140
oct573210300
9227064803
1099422400
1151137580
1229368140
13177a092c
14d2c0920
158add750
hex5ed10c0

99422400 has 336 divisors, whose sum is σ = 408188160. Its totient is φ = 20582400.

The previous prime is 99422387. The next prime is 99422419. The reversal of 99422400 is 422499.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369466 + ... + 369734.

Almost surely, 299422400 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 99422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

99422400 is an abundant number, since it is smaller than the sum of its proper divisors (308765760).

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

99422400 is a wasteful number, since it uses less digits than its factorization.

99422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 99422400 is about 9971.0781764060. The cubic root of 99422400 is about 463.2634966541.

Adding to 99422400 its reverse (422499), we get a palindrome (99844899).

The spelling of 99422400 in words is "ninety-nine million, four hundred twenty-two thousand, four hundred".