Search a number
-
+
228971234925 = 32522935399409
BaseRepresentation
bin1101010100111110111…
…1111100011001101101
3210220000101202220111100
43111033233330121231
512222413114004200
6253104332113313
722354056245526
oct3251757743155
9726011686440
10228971234925
1189119324864
1238462005839
1318790515234
14b121a5184d
155e51ad8d00
hex354fbfc66d

228971234925 has 72 divisors (see below), whose sum is σ = 425460882600. Its totient is φ = 117571829760.

The previous prime is 228971234923. The next prime is 228971234953. The reversal of 228971234925 is 529432179822.

228971234925 is a `hidden beast` number, since 2 + 2 + 89 + 71 + 2 + 3 + 492 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 50633100324 + 178338134601 = 225018^2 + 422301^2 .

It is not a de Polignac number, because 228971234925 - 21 = 228971234923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228971234923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2253621 + ... + 2353029.

It is an arithmetic number, because the mean of its divisors is an integer number (5909178925).

Almost surely, 2228971234925 is an apocalyptic number.

228971234925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228971234925 is a deficient number, since it is larger than the sum of its proper divisors (196489647675).

228971234925 is a wasteful number, since it uses less digits than its factorization.

228971234925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99807 (or 99799 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 228971234925 in words is "two hundred twenty-eight billion, nine hundred seventy-one million, two hundred thirty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 353 435 725 1059 1305 1765 2175 3177 5295 6525 8825 10237 15885 26475 30711 51185 79425 92133 99409 153555 255925 298227 460665 497045 767775 894681 1491135 2303325 2485225 2882861 4473405 7455675 8648583 14414305 22367025 25945749 35091377 43242915 72071525 105274131 129728745 175456885 216214575 315822393 526370655 648643725 877284425 1017649933 1579111965 2631853275 3052949799 5088249665 7895559825 9158849397 15264748995 25441248325 45794246985 76323744975 228971234925