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228771646900 = 225217134571557
BaseRepresentation
bin1101010100001111011…
…0100100110110110100
3210212111111012210012021
43111003312210312310
512222011020200100
6253032442202524
722346113625326
oct3250366446664
9725444183167
10228771646900
11890266a3385
12384071b3444
131875b073604
14b103339616
155e3e311a1a
hex3543da4db4

228771646900 has 36 divisors (see below), whose sum is σ = 525636505548. Its totient is φ = 86125795840.

The previous prime is 228771646879. The next prime is 228771646907. The reversal of 228771646900 is 9646177822.

It can be written as a sum of positive squares in 6 ways, for example, as 5226133264 + 223545513636 = 72292^2 + 472806^2 .

It is a super-2 number, since 2×2287716469002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228771646907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67284079 + ... + 67287478.

It is an arithmetic number, because the mean of its divisors is an integer number (14601014043).

Almost surely, 2228771646900 is an apocalyptic number.

228771646900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228771646900 is an abundant number, since it is smaller than the sum of its proper divisors (296864858648).

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

228771646900 is a wasteful number, since it uses less digits than its factorization.

228771646900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134571588 (or 134571581 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 228771646900 in words is "two hundred twenty-eight billion, seven hundred seventy-one million, six hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 134571557 269143114 538286228 672857785 1345715570 2287716469 2691431140 3364288925 4575432938 6728577850 9150865876 11438582345 13457155700 22877164690 45754329380 57192911725 114385823450 228771646900