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99217440 = 25335717193
BaseRepresentation
bin1011110100111…
…11000000100000
320220200202202000
411322133000200
5200344424230
613502324000
72313222450
oct572370040
9226622660
1099217440
1151007593
1229289600
131772b55a
14d269d60
158a9cb60
hex5e9f020

99217440 has 384 divisors, whose sum is σ = 422392320. Its totient is φ = 21233664.

The previous prime is 99217427. The next prime is 99217441. The reversal of 99217440 is 4471299.

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

It is a junction number, because it is equal to n+sod(n) for n = 99217395 and 99217404.

It is not an unprimeable number, because it can be changed into a prime (99217441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513984 + ... + 514176.

It is an arithmetic number, because the mean of its divisors is an integer number (1099980).

Almost surely, 299217440 is an apocalyptic number.

99217440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196160).

99217440 is an abundant number, since it is smaller than the sum of its proper divisors (323174880).

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

99217440 is a wasteful number, since it uses less digits than its factorization.

99217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 99217440 is about 9960.7951489828. The cubic root of 99217440 is about 462.9449372948.

The spelling of 99217440 in words is "ninety-nine million, two hundred seventeen thousand, four hundred forty".