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661332224 = 287252721
BaseRepresentation
bin100111011010110…
…010000100000000
31201002102011021002
4213122302010000
52323300112344
6145342351132
722250142200
oct4732620400
91632364232
10661332224
1130a339763
1216558b4a8
13a7021057
1463b90400
153d0d544e
hex276b2100

661332224 has 54 divisors (see below), whose sum is σ = 1535633694. Its totient is φ = 283422720.

The previous prime is 661332223. The next prime is 661332233. The reversal of 661332224 is 422233166.

It can be written as a sum of positive squares in only one way, i.e., 429318400 + 232013824 = 20720^2 + 15232^2 .

It is not an unprimeable number, because it can be changed into a prime (661332223) 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 5 ways as a sum of consecutive naturals, for example, 13817 + ... + 38904.

It is an arithmetic number, because the mean of its divisors is an integer number (28437661).

Almost surely, 2661332224 is an apocalyptic number.

661332224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

661332224 is an abundant number, since it is smaller than the sum of its proper divisors (874301470).

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

661332224 is an equidigital number, since it uses as much as digits as its factorization.

661332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52751 (or 52730 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 661332224 is about 25716.3804607103. The cubic root of 661332224 is about 871.2441897972.

The spelling of 661332224 in words is "six hundred sixty-one million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 52721 105442 210884 369047 421768 738094 843536 1476188 1687072 2583329 2952376 3374144 5166658 5904752 6748288 10333316 11809504 13496576 20666632 23619008 41333264 47238016 82666528 94476032 165333056 330666112 661332224