Search a number
-
+
228640810896 = 2432398472
BaseRepresentation
bin1101010011110000001…
…1011110011110010000
3210212011101000121221100
43110330003132132100
512221224021422041
6253011450024400
722342634553261
oct3247403363620
9725141017840
10228640810896
1188a69860353
123838b418100
1318739c24464
14b0cdbdc968
155e32aba6b6
hex353c0de790

228640810896 has 45 divisors (see below), whose sum is σ = 639892772571. Its totient is φ = 76211690976.

The previous prime is 228640810877. The next prime is 228640810907. The reversal of 228640810896 is 698018046822.

The square root of 228640810896 is 478164.

It is a perfect power (a square), and thus also a powerful number.

228640810896 is a `hidden beast` number, since 228 + 6 + 408 + 1 + 0 + 8 + 9 + 6 = 666.

228640810896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5718045 + ... + 5757891.

Almost surely, 2228640810896 is an apocalyptic number.

228640810896 is the 478164-th square number.

It is an amenable number.

228640810896 is an abundant number, since it is smaller than the sum of its proper divisors (411251961675).

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

228640810896 is an frugal number, since it uses more digits than its factorization.

228640810896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79708 (or 39852 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 228640810896 in words is "two hundred twenty-eight billion, six hundred forty million, eight hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 39847 79694 119541 159388 239082 318776 358623 478164 637552 717246 956328 1434492 1912656 2868984 5737968 1587783409 3175566818 4763350227 6351133636 9526700454 12702267272 14290050681 19053400908 25404534544 28580101362 38106801816 57160202724 76213603632 114320405448 228640810896