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4223052225 = 325274789641
BaseRepresentation
bin1111101110110110…
…1010100111000001
3101220022102021120200
43323231222213001
532122100132400
61535014355413
7206436231420
oct37355524701
911808367520
104223052225
111877891707
1299a35bb69
13523bba492
142c0c172b7
1519ab34b00
hexfbb6a9c1

4223052225 has 144 divisors (see below), whose sum is σ = 8941570560. Its totient is φ = 1865318400.

The previous prime is 4223052217. The next prime is 4223052257. The reversal of 4223052225 is 5222503224.

It is not a de Polignac number, because 4223052225 - 23 = 4223052217 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6587905 + ... + 6588545.

It is an arithmetic number, because the mean of its divisors is an integer number (62094240).

Almost surely, 24223052225 is an apocalyptic number.

4223052225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4223052225 is an abundant number, since it is smaller than the sum of its proper divisors (4718518335).

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

4223052225 is a wasteful number, since it uses less digits than its factorization.

4223052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4223052225 is about 64985.0153881647. The cubic root of 4223052225 is about 1616.3750968610.

Adding to 4223052225 its reverse (5222503224), we get a palindrome (9445555449).

The spelling of 4223052225 in words is "four billion, two hundred twenty-three million, fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 89 105 141 175 225 235 267 315 329 423 445 525 623 641 705 801 987 1175 1335 1575 1645 1869 1923 2115 2225 2961 3115 3205 3525 4005 4183 4487 4935 5607 5769 6675 8225 9345 9615 10575 12549 13461 14805 15575 16025 20025 20915 22435 24675 28035 28845 29281 30127 37647 40383 46725 48075 57049 62745 67305 74025 87843 90381 104575 112175 140175 144225 146405 150635 171147 188235 201915 210889 263529 271143 285245 313725 336525 399343 439215 451905 513441 632667 732025 753175 855735 941175 1009575 1054445 1198029 1317645 1355715 1426225 1898001 1996715 2196075 2259525 2567205 2681303 3163335 3594087 4278675 5272225 5990145 6588225 6778575 8043909 9490005 9983575 12836025 13406515 15816675 17970435 18769121 24131727 29950725 40219545 47450025 56307363 67032575 89852175 93845605 120658635 168922089 201097725 281536815 469228025 603293175 844610445 1407684075 4223052225