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226234104544 = 2572693839803
BaseRepresentation
bin1101001010110010011…
…0100111101011100000
3210121221122101021111001
43102230212213223200
512201311412321134
6251532554001344
722226202105550
oct3225446475340
9717848337431
10226234104544
1187a44288238
1237a19416254
131844542b166
14ad42315160
155d4166c414
hex34ac9a7ae0

226234104544 has 96 divisors (see below), whose sum is σ = 512305274880. Its totient is φ = 96334996992.

The previous prime is 226234104521. The next prime is 226234104557. The reversal of 226234104544 is 445401432622.

226234104544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 23073147 + ... + 23082949.

It is an arithmetic number, because the mean of its divisors is an integer number (5336513280).

Almost surely, 2226234104544 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 226234104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256152637440).

226234104544 is an abundant number, since it is smaller than the sum of its proper divisors (286071170336).

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

226234104544 is a wasteful number, since it uses less digits than its factorization.

226234104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 226234104544 in words is "two hundred twenty-six billion, two hundred thirty-four million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 269 383 538 766 1076 1532 1883 2152 2681 3064 3766 4304 5362 6128 7532 8608 9803 10724 12256 15064 19606 21448 30128 39212 42896 60256 68621 78424 85792 103027 137242 156848 206054 274484 313696 412108 548968 721189 824216 1097936 1442378 1648432 2195872 2637007 2884756 3296864 3754549 5274014 5769512 7509098 10548028 11539024 15018196 18459049 21096056 23078048 26281843 30036392 36918098 42192112 52563686 60072784 73836196 84384224 105127372 120145568 147672392 210254744 295344784 420509488 590689568 841018976 1009973681 2019947362 4039894724 7069815767 8079789448 14139631534 16159578896 28279263068 32319157792 56558526136 113117052272 226234104544