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203422968 = 23337197397
BaseRepresentation
bin11000001111111…
…11110011111000
3112011202221212000
430013333303320
5404034013333
632104021000
75020031610
oct1407776370
9464687760
10203422968
11a4910761
1258161760
13331b5328
141d033a40
1512cd3713
hexc1ffcf8

203422968 has 256 divisors, whose sum is σ = 696192000. Its totient is φ = 53747712.

The previous prime is 203422963. The next prime is 203422991. The reversal of 203422968 is 869224302.

203422968 is a `hidden beast` number, since 20 + 342 + 296 + 8 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203422963) 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, 2097096 + ... + 2097192.

It is an arithmetic number, because the mean of its divisors is an integer number (2719500).

Almost surely, 2203422968 is an apocalyptic number.

203422968 is a gapful number since it is divisible by the number (28) 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 203422968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348096000).

203422968 is an abundant number, since it is smaller than the sum of its proper divisors (492769032).

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

203422968 is a wasteful number, since it uses less digits than its factorization.

203422968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 203422968 is about 14262.6423919272. The cubic root of 203422968 is about 588.1209663661.

The spelling of 203422968 in words is "two hundred three million, four hundred twenty-two thousand, nine hundred sixty-eight".