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226355203152 = 243213130192941
BaseRepresentation
bin1101001011001111010…
…0100100110001010000
3210122021002020201112200
43102303310210301100
512202033413000102
6251553001323200
722232202323661
oct3226364446120
9718232221480
10226355203152
1187aa667a431
1237a51a96500
131846454b140
14ad54439368
155d4c0dd51c
hex34b3d24c50

226355203152 has 120 divisors (see below), whose sum is σ = 682741150728. Its totient is φ = 69593472000.

The previous prime is 226355203049. The next prime is 226355203159. The reversal of 226355203152 is 251302553622.

226355203152 is a `hidden beast` number, since 2 + 2 + 635 + 5 + 2 + 0 + 3 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60409774656 + 165945428496 = 245784^2 + 407364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226355203159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2389002 + ... + 2481942.

Almost surely, 2226355203152 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 226355203152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341370575364).

226355203152 is an abundant number, since it is smaller than the sum of its proper divisors (456385947576).

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

226355203152 is a wasteful number, since it uses less digits than its factorization.

226355203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94269 (or 94260 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 226355203152 its reverse (251302553622), we get a palindrome (477657756774).

The spelling of 226355203152 in words is "two hundred twenty-six billion, three hundred fifty-five million, two hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1301 1872 2602 3903 5204 7806 10408 11709 15612 16913 20816 23418 31224 33826 46836 50739 62448 67652 92941 93672 101478 135304 152217 185882 187344 202956 270608 278823 304434 371764 405912 557646 608868 743528 811824 836469 1115292 1208233 1217736 1487056 1672938 2230584 2416466 2435472 3345876 3624699 4461168 4832932 6691752 7249398 9665864 10874097 13383504 14498796 19331728 21748194 28997592 43496388 57995184 86992776 120916241 173985552 241832482 362748723 483664964 725497446 967329928 1088246169 1450994892 1571911133 1934659856 2176492338 2901989784 3143822266 4352984676 4715733399 5803979568 6287644532 8705969352 9431466798 12575289064 14147200197 17411938704 18862933596 25150578128 28294400394 37725867192 56588800788 75451734384 113177601576 226355203152