Search a number
-
+
209522695140 = 223451117691631
BaseRepresentation
bin1100001100100010000…
…1101001101111100100
3202000210222220201110000
43003020201221233210
511413100302221030
6240130422301300
721065111344413
oct3031041515744
9660728821400
10209522695140
118094910aa90
1234734887830
13169b116c625
14a1d8ab947a
1556b449d860
hex30c8869be4

209522695140 has 240 divisors, whose sum is σ = 759212745984. Its totient is φ = 47805465600.

The previous prime is 209522695121. The next prime is 209522695153. The reversal of 209522695140 is 41596225902.

209522695140 is a `hidden beast` number, since 20 + 9 + 52 + 2 + 69 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 42876 + ... + 648755.

Almost surely, 2209522695140 is an apocalyptic number.

209522695140 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 209522695140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379606372992).

209522695140 is an abundant number, since it is smaller than the sum of its proper divisors (549690050844).

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

209522695140 is a wasteful number, since it uses less digits than its factorization.

209522695140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691680 (or 691669 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 209522695140 in words is "two hundred nine billion, five hundred twenty-two million, six hundred ninety-five thousand, one hundred forty".