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226547432216 = 237219254911933
BaseRepresentation
bin1101001011111101000…
…1110111101100011000
3210122202110221222020122
43102333101313230120
512202432120312331
6252024025412412
722240025254400
oct3227721675430
9718673858218
10226547432216
1188095134a26
1237aa633a108
1318495314351
14ad71b97800
155d5de1017b
hex34bf477b18

226547432216 has 96 divisors (see below), whose sum is σ = 520382070000. Its totient is φ = 91937873664.

The previous prime is 226547432203. The next prime is 226547432219. The reversal of 226547432216 is 612234745622.

It is a super-2 number, since 2×2265474322162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226547432219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18978986 + ... + 18990918.

Almost surely, 2226547432216 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 226547432216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260191035000).

226547432216 is an abundant number, since it is smaller than the sum of its proper divisors (293834637784).

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

226547432216 is a wasteful number, since it uses less digits than its factorization.

226547432216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14521 (or 14510 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The spelling of 226547432216 in words is "two hundred twenty-six billion, five hundred forty-seven million, four hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 2549 3724 5098 7448 10196 11933 17843 20392 23866 35686 47732 48431 71372 83531 95464 96862 124901 142744 167062 193724 226727 249802 334124 339017 387448 453454 499604 584717 668248 678034 906908 999208 1169434 1356068 1587089 1813816 2338868 2373119 2712136 3174178 4677736 4746238 6348356 9492476 11109623 12696712 18984952 22219246 30417217 44438492 60834434 88876984 121668868 212920519 243337736 425841038 577927123 851682076 1155854246 1490443633 1703364152 2311708492 2980887266 4045489861 4623416984 5961774532 8090979722 11923549064 16181959444 28318429027 32363918888 56636858054 113273716108 226547432216