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226400714712 = 2335401329021
BaseRepresentation
bin1101001011011010001…
…0001011111111011000
3210122101020212221200000
43102312202023333120
512202132040332322
6252001305013000
722233264215514
oct3226642137730
9718336787600
10226400714712
118801a334997
1237a65184160
1318470ac4563
14ad5a4c5144
155d510cd3ac
hex34b688bfd8

226400714712 has 96 divisors (see below), whose sum is σ = 636058921680. Its totient is φ = 75445499520.

The previous prime is 226400714677. The next prime is 226400714719. The reversal of 226400714712 is 217417004622.

226400714712 is a `hidden beast` number, since 2 + 2 + 640 + 0 + 7 + 1 + 4 + 7 + 1 + 2 = 666.

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 (226400714719) 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, 7786762 + ... + 7815782.

Almost surely, 2226400714712 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 226400714712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318029460840).

226400714712 is an abundant number, since it is smaller than the sum of its proper divisors (409658206968).

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

226400714712 is a wasteful number, since it uses less digits than its factorization.

226400714712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33055 (or 33039 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 226400714712 in words is "two hundred twenty-six billion, four hundred million, seven hundred fourteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4013 8026 12039 16052 24078 29021 32104 36117 48156 58042 72234 87063 96312 108351 116084 144468 174126 216702 232168 261189 288936 325053 348252 433404 522378 650106 696504 783567 866808 975159 1044756 1300212 1567134 1950318 2089512 2350701 2600424 3134268 3900636 4701402 6268536 7052103 7801272 9402804 14104206 18805608 28208412 56416824 116461273 232922546 349383819 465845092 698767638 931690184 1048151457 1397535276 2096302914 2795070552 3144454371 4192605828 6288908742 8385211656 9433363113 12577817484 18866726226 25155634968 28300089339 37733452452 56600178678 75466904904 113200357356 226400714712