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228778772450 = 2521722321732
BaseRepresentation
bin1101010100010001000…
…1110000011111100010
3210212111222121210121112
43111010101300133202
512222014331204300
6253033255023322
722346231323454
oct3250421603742
9725458553545
10228778772450
118902a71a968
123840966ab42
131875c699a07
14b1042722d4
155e3ec6ce35
hex35444707e2

228778772450 has 162 divisors, whose sum is σ = 475287326409. Its totient is φ = 81907555840.

The previous prime is 228778772429. The next prime is 228778772459. The reversal of 228778772450 is 54277877822.

It can be written as a sum of positive squares in 14 ways, for example, as 80201673601 + 148577098849 = 283199^2 + 385457^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338215.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228778772450.

It is not an unprimeable number, because it can be changed into a prime (228778772459) 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 80 ways as a sum of consecutive naturals, for example, 1322420564 + ... + 1322420736.

Almost surely, 2228778772450 is an apocalyptic number.

228778772450 is an abundant number, since it is smaller than the sum of its proper divisors (246508553959).

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

228778772450 is a wasteful number, since it uses less digits than its factorization.

228778772450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24586240, while the sum is 59.

The spelling of 228778772450 in words is "two hundred twenty-eight billion, seven hundred seventy-eight million, seven hundred seventy-two thousand, four hundred fifty".