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226900372704 = 25317322436091
BaseRepresentation
bin1101001101010001010…
…0001110110011100000
3210200200002002012120120
43103110110032303200
512204142443411304
6252123034240240
722251542226405
oct3232424166340
9720602065516
10226900372704
1188256388385
1237b84586080
1318520489a85
14ada69cc2ac
155d7edca0d9
hex34d450ece0

226900372704 has 96 divisors (see below), whose sum is σ = 599421803904. Its totient is φ = 75150405120.

The previous prime is 226900372703. The next prime is 226900372729. The reversal of 226900372704 is 407273009622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226900372703) 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 15 ways as a sum of consecutive naturals, for example, 37248699 + ... + 37254789.

It is an arithmetic number, because the mean of its divisors is an integer number (6243977124).

Almost surely, 2226900372704 is an apocalyptic number.

226900372704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226900372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299710901952).

226900372704 is an abundant number, since it is smaller than the sum of its proper divisors (372521431200).

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

226900372704 is a wasteful number, since it uses less digits than its factorization.

226900372704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 226900372704 in words is "two hundred twenty-six billion, nine hundred million, three hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2243 2768 4152 4486 5536 6091 6729 8304 8972 12182 13458 16608 17944 18273 24364 26916 35888 36546 48728 53832 71776 73092 97456 107664 146184 194912 215328 292368 388039 584736 776078 1053743 1164117 1552156 2107486 2328234 3104312 3161229 4214972 4656468 6208624 6322458 8429944 9312936 12417248 12644916 13662113 16859888 18625872 25289832 27324226 33719776 37251744 40986339 50579664 54648452 81972678 101159328 109296904 163945356 218593808 327890712 437187616 655781424 1311562848 2363545549 4727091098 7090636647 9454182196 14181273294 18908364392 28362546588 37816728784 56725093176 75633457568 113450186352 226900372704