Search a number
-
+
226462675032 = 233211494357847
BaseRepresentation
bin1101001011101000111…
…0100011000001011000
3210122112120110212020200
43102322032203001120
512202243421100112
6252011401022200
722234645656036
oct3227216430130
9718476425220
10226462675032
1188051304670
1237a81a84960
13184808a9879
14ad64813556
155d5676bcdc
hex34ba3a3058

226462675032 has 96 divisors (see below), whose sum is σ = 669241198080. Its totient is φ = 68609983680.

The previous prime is 226462675027. The next prime is 226462675037. The reversal of 226462675032 is 230576264622.

226462675032 is a `hidden beast` number, since 2 + 26 + 4 + 62 + 67 + 503 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (226462675027) and next prime (226462675037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226462675037) 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, 3885933 + ... + 3943779.

It is an arithmetic number, because the mean of its divisors is an integer number (6971262480).

Almost surely, 2226462675032 is an apocalyptic number.

226462675032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226462675032 is an abundant number, since it is smaller than the sum of its proper divisors (442778523048).

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

226462675032 is a wasteful number, since it uses less digits than its factorization.

226462675032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62813 (or 62806 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 226462675032 in words is "two hundred twenty-six billion, four hundred sixty-two million, six hundred seventy-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4943 9886 14829 19772 29658 39544 44487 54373 57847 59316 88974 108746 115694 118632 163119 173541 177948 217492 231388 326238 347082 355896 434984 462776 489357 520623 636317 652476 694164 978714 1041246 1272634 1304952 1388328 1908951 1957428 2082492 2545268 3817902 3914856 4164984 5090536 5726853 7635804 11453706 15271608 22907412 45814824 285937721 571875442 857813163 1143750884 1715626326 2287501768 2573439489 3145314931 3431252652 5146878978 6290629862 6862505304 9435944793 10293757956 12581259724 18871889586 20587515912 25162519448 28307834379 37743779172 56615668758 75487558344 113231337516 226462675032