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226011543424 = 2717288735977
BaseRepresentation
bin1101001001111101010…
…1100111011110000000
3210121101010121000000121
43102133111213132000
512200332423342144
6251454523430024
722220530264402
oct3223725473600
9717333530017
10226011543424
118793a695827
1237976985314
131840b2a4aa4
14ad2093cb72
155d2bd58384
hex349f567780

226011543424 has 64 divisors (see below), whose sum is σ = 476921489760. Its totient is φ = 106318577664.

The previous prime is 226011543377. The next prime is 226011543451. The reversal of 226011543424 is 424345110622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 226011543424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6264124 + ... + 6300100.

Almost surely, 2226011543424 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 226011543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238460744880).

226011543424 is an abundant number, since it is smaller than the sum of its proper divisors (250909946336).

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

226011543424 is a wasteful number, since it uses less digits than its factorization.

226011543424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38895 (or 38883 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 226011543424 in words is "two hundred twenty-six billion, eleven million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2887 5774 11548 23096 35977 46192 49079 71954 92384 98158 143908 184768 196316 287816 369536 392632 575632 611609 785264 1151264 1223218 1570528 2302528 2446436 3141056 4605056 4892872 6282112 9785744 19571488 39142976 78285952 103865599 207731198 415462396 830924792 1661849584 1765715183 3323699168 3531430366 6647398336 7062860732 13294796672 14125721464 28251442928 56502885856 113005771712 226011543424