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202054014 = 236139997
BaseRepresentation
bin11000000101100…
…01100101111110
3112002012102000000
430002301211332
5403211212024
632014415130
75002300521
oct1402614576
9462172000
10202054014
11a4066198
12578014a6
1332b261b6
141cb98bb8
1512b12cc9
hexc0b197e

202054014 has 56 divisors (see below), whose sum is σ = 458141880. Its totient is φ = 66799728.

The previous prime is 202054009. The next prime is 202054019. The reversal of 202054014 is 410450202.

202054014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202054009) and next prime (202054019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202054019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 202164 + ... + 203160.

It is an arithmetic number, because the mean of its divisors is an integer number (8181105).

Almost surely, 2202054014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202054014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229070940).

202054014 is an abundant number, since it is smaller than the sum of its proper divisors (256087866).

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

202054014 is an equidigital number, since it uses as much as digits as its factorization.

202054014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 202054014 is about 14214.5704824310. The cubic root of 202054014 is about 586.7987240742.

The spelling of 202054014 in words is "two hundred two million, fifty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 729 834 997 1251 1458 1994 2502 2991 3753 5982 7506 8973 11259 17946 22518 26919 33777 53838 67554 80757 101331 138583 161514 202662 242271 277166 415749 484542 726813 831498 1247247 1453626 2494494 3741741 7483482 11225223 22450446 33675669 67351338 101027007 202054014