Search a number
-
+
226525141008 = 24327612067137
BaseRepresentation
bin1101001011110111110…
…0110101100000010000
3210122200221000110110100
43102331330311200100
512202410414003013
6252021511532400
722236334633425
oct3227574654020
9718627013410
10226525141008
118808359a241
1237a9a98a100
131849080b09a
14ad6cc33d4c
155d5beaa473
hex34bdf35810

226525141008 has 60 divisors (see below), whose sum is σ = 634789139868. Its totient is φ = 75409121280.

The previous prime is 226525140983. The next prime is 226525141009. The reversal of 226525141008 is 800141525622.

226525141008 is a `hidden beast` number, since 2 + 26 + 525 + 1 + 4 + 100 + 8 = 666.

226525141008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107880716304 + 118644424704 = 328452^2 + 344448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226525141009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923985 + ... + 1143152.

Almost surely, 2226525141008 is an apocalyptic number.

It is an amenable number.

226525141008 is an abundant number, since it is smaller than the sum of its proper divisors (408263998860).

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

226525141008 is a wasteful number, since it uses less digits than its factorization.

226525141008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067912 (or 2067903 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 226525141008 in words is "two hundred twenty-six billion, five hundred twenty-five million, one hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 761 1522 2283 3044 4566 6088 6849 9132 12176 13698 18264 27396 36528 54792 109584 2067137 4134274 6201411 8268548 12402822 16537096 18604233 24805644 33074192 37208466 49611288 74416932 99222576 148833864 297667728 1573091257 3146182514 4719273771 6292365028 9438547542 12584730056 14157821313 18877095084 25169460112 28315642626 37754190168 56631285252 75508380336 113262570504 226525141008