Search a number
-
+
202054424 = 231113239739
BaseRepresentation
bin11000000101100…
…01101100011000
3112002012102120012
430002301230120
5403211220144
632014421052
75002301645
oct1402615430
9462172505
10202054424
11a4066530
1257801788
1332b26440
141cb98dcc
1512b12e9e
hexc0b1b18

202054424 has 64 divisors (see below), whose sum is σ = 447552000. Its totient is φ = 84309120.

The previous prime is 202054423. The next prime is 202054441. The reversal of 202054424 is 424450202.

202054424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202054424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202054421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273047 + ... + 273785.

It is an arithmetic number, because the mean of its divisors is an integer number (6993000).

Almost surely, 2202054424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202054424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223776000).

202054424 is an abundant number, since it is smaller than the sum of its proper divisors (245497576).

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

202054424 is a wasteful number, since it uses less digits than its factorization.

202054424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 202054424 is about 14214.5849042454. The cubic root of 202054424 is about 586.7991209768.

The spelling of 202054424 in words is "two hundred two million, fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 239 286 478 572 739 956 1144 1478 1912 2629 2956 3107 5258 5912 6214 8129 9607 10516 12428 16258 19214 21032 24856 32516 34177 38428 65032 68354 76856 105677 136708 176621 211354 273416 353242 422708 706484 845416 1412968 1942831 2296073 3885662 4592146 7771324 9184292 15542648 18368584 25256803 50513606 101027212 202054424