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988243200 = 28335271943
BaseRepresentation
bin111010111001110…
…110010100000000
32112212112221211000
4322321312110000
54010442240300
6242021252000
733326633340
oct7271662400
92485487730
10988243200
1146792381a
12236b64000
13129981ab9
149536ad20
155bb5cc00
hex3ae76500

988243200 has 864 divisors, whose sum is σ = 4460825600. Its totient is φ = 209018880.

The previous prime is 988243189. The next prime is 988243229. The reversal of 988243200 is 2342889.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22982379 + ... + 22982421.

Almost surely, 2988243200 is an apocalyptic number.

988243200 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 988243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230412800).

988243200 is an abundant number, since it is smaller than the sum of its proper divisors (3472582400).

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

988243200 is a wasteful number, since it uses less digits than its factorization.

988243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 988243200 is about 31436.3356643232. The cubic root of 988243200 is about 996.0656075232.

The spelling of 988243200 in words is "nine hundred eighty-eight million, two hundred forty-three thousand, two hundred".