Search a number
-
+
202714942320 = 2432511591393121
BaseRepresentation
bin1011110011001011000…
…0001000101101110000
3201101020112221001012200
42330302300020231300
511310130011123240
6233043112423200
720434315402512
oct2746260105560
9641215831180
10202714942320
1178a75333590
12333549a7b00
1316167937c17
149b508c3bb2
1554169ab930
hex2f32c08b70

202714942320 has 480 divisors, whose sum is σ = 760938796800. Its totient is φ = 47947161600.

The previous prime is 202714942319. The next prime is 202714942321. The reversal of 202714942320 is 23249417202.

It is a happy number.

202714942320 is a `hidden beast` number, since 20 + 271 + 4 + 9 + 42 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (202714942319) and next prime (202714942321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202714942321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64950360 + ... + 64953480.

It is an arithmetic number, because the mean of its divisors is an integer number (1585289160).

Almost surely, 2202714942320 is an apocalyptic number.

202714942320 is a gapful number since it is divisible by the number (20) 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 202714942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380469398400).

202714942320 is an abundant number, since it is smaller than the sum of its proper divisors (558223854480).

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

202714942320 is a wasteful number, since it uses less digits than its factorization.

202714942320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 202714942320 in words is "two hundred two billion, seven hundred fourteen million, nine hundred forty-two thousand, three hundred twenty".