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29228333484 = 223723103191769
BaseRepresentation
bin11011001110001001…
…001111100110101100
32210102222021011220210
4123032021033212230
5434324423132414
621232144342420
72053206510150
oct331611174654
983388234823
1029228333484
11114396a5609
1257b8614a10
1329aa5527ac
1415b3b77060
15b60eebe59
hex6ce24f9ac

29228333484 has 192 divisors, whose sum is σ = 82657935360. Its totient is φ = 7858667520.

The previous prime is 29228333473. The next prime is 29228333489. The reversal of 29228333484 is 48433382292.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29228333489) 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 63 ways as a sum of consecutive naturals, for example, 38007852 + ... + 38008620.

It is an arithmetic number, because the mean of its divisors is an integer number (430510080).

Almost surely, 229228333484 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 29228333484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328967680).

29228333484 is an abundant number, since it is smaller than the sum of its proper divisors (53429601876).

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

29228333484 is a wasteful number, since it uses less digits than its factorization.

29228333484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 29228333484 in words is "twenty-nine billion, two hundred twenty-eight million, three hundred thirty-three thousand, four hundred eighty-four".