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228292289376 = 25323103393247
BaseRepresentation
bin1101010010011101000…
…1111110001101100000
3210211021002012220021220
43110213101332031200
512220020311230001
6252513120015040
722331203304454
oct3244721761540
9724232186256
10228292289376
1188900055a38
12382b2761480
13186b29681c8
14b0997d8664
155e121c4c36
hex352747e360

228292289376 has 48 divisors (see below), whose sum is σ = 625322363904. Its totient is φ = 72788845184.

The previous prime is 228292289371. The next prime is 228292289377. The reversal of 228292289376 is 673982292822.

It is a happy number.

228292289376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228292289371) 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 7 ways as a sum of consecutive naturals, for example, 51694416 + ... + 51698831.

It is an arithmetic number, because the mean of its divisors is an integer number (13027549248).

Almost surely, 2228292289376 is an apocalyptic number.

It is an amenable number.

228292289376 is an abundant number, since it is smaller than the sum of its proper divisors (397030074528).

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

228292289376 is a wasteful number, since it uses less digits than its factorization.

228292289376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103393283 (or 103393275 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 228292289376 in words is "two hundred twenty-eight billion, two hundred ninety-two million, two hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 103393247 206786494 310179741 413572988 620359482 827145976 1240718964 1654291952 2378044681 2481437928 3308583904 4756089362 4962875856 7134134043 9512178724 9925751712 14268268086 19024357448 28536536172 38048714896 57073072344 76097429792 114146144688 228292289376