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226400754052 = 221121494217457
BaseRepresentation
bin1101001011011010001…
…0010101100110000100
3210122101020221221122001
43102312202111212010
512202132043112202
6252001305515044
722233264441304
oct3226642254604
9718336857561
10226400754052
118801a361500
1237a651a2a84
1318470b09435
14ad5a4d5604
155d510d9d87
hex34b6895984

226400754052 has 72 divisors (see below), whose sum is σ = 439517093400. Its totient is φ = 101962291200.

The previous prime is 226400753939. The next prime is 226400754053. The reversal of 226400754052 is 250457004622.

It can be written as a sum of positive squares in 4 ways, for example, as 17968330116 + 208432423936 = 134046^2 + 456544^2 .

It is not an unprimeable number, because it can be changed into a prime (226400754053) 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, 30357108 + ... + 30364564.

It is an arithmetic number, because the mean of its divisors is an integer number (6104404075).

Almost surely, 2226400754052 is an apocalyptic number.

226400754052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226400754052 is a deficient number, since it is larger than the sum of its proper divisors (213116339348).

226400754052 is a wasteful number, since it uses less digits than its factorization.

226400754052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

Adding to 226400754052 its reverse (250457004622), we get a palindrome (476857758674).

The spelling of 226400754052 in words is "two hundred twenty-six billion, four hundred million, seven hundred fifty-four thousand, fifty-two".

Divisors: 1 2 4 11 22 44 121 149 242 298 421 484 596 842 1639 1684 3278 4631 6556 7457 9262 14914 18029 18524 29828 36058 50941 62729 72116 82027 101882 125458 164054 203764 250916 328108 690019 902297 1111093 1380038 1804594 2222186 2760076 3139397 3609188 4444372 6278794 7590209 12222023 12557588 15180418 24444046 30360836 34533367 48888092 69066734 134442253 138133468 268884506 379867037 467770153 537769012 759734074 935540306 1519468148 1871080612 5145471683 10290943366 20581886732 56600188513 113200377026 226400754052