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226066152624 = 24313493173471
BaseRepresentation
bin1101001010001010010…
…1111011110010110000
3210121111221100102202120
43102202211323302300
512200440413340444
6251504154114240
722222062410034
oct3224245736260
9717457312676
10226066152624
11879684a44a4
123799111b980
13184196b5120
14ad27cb61c4
155d31a43b19
hex34a297bcb0

226066152624 has 80 divisors (see below), whose sum is σ = 629063737344. Its totient is φ = 69543763200.

The previous prime is 226066152623. The next prime is 226066152797. The reversal of 226066152624 is 426251660622.

226066152624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260661526242 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226066152623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040209 + ... + 3113679.

Almost surely, 2226066152624 is an apocalyptic number.

226066152624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226066152624 is an abundant number, since it is smaller than the sum of its proper divisors (402997584720).

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

226066152624 is a wasteful number, since it uses less digits than its factorization.

226066152624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78426 (or 78420 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 226066152624 in words is "two hundred twenty-six billion, sixty-six million, one hundred fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4931 9862 14793 19724 29586 39448 59172 64103 73471 78896 118344 128206 146942 192309 220413 236688 256412 293884 384618 440826 512824 587768 769236 881652 955123 1025648 1175536 1538472 1763304 1910246 2865369 3076944 3526608 3820492 5730738 7640984 11461476 15281968 22922952 45845904 362285501 724571002 1086856503 1449142004 2173713006 2898284008 4347426012 4709711513 5796568016 8694852024 9419423026 14129134539 17389704048 18838846052 28258269078 37677692104 56516538156 75355384208 113033076312 226066152624