Search a number
-
+
2231403410440 = 235198833325093
BaseRepresentation
bin100000011110001010000…
…000011111010000001000
321220022122100012002001001
4200132022000133100020
5243024403233113230
64425031555104344
7320133154016401
oct40361200372010
97808570162031
102231403410440
11790373064056
123005645a20b4
1313256091c4c9
147a0015389a8
153d09d3960ca
hex2078a01f408

2231403410440 has 64 divisors (see below), whose sum is σ = 5290889572800. Its totient is φ = 844626569472.

The previous prime is 2231403410399. The next prime is 2231403410441. The reversal of 2231403410440 is 440143041322.

It is a super-3 number, since 3×22314034104403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231403410399 and 2231403410408.

It is not an unprimeable number, because it can be changed into a prime (2231403410441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991467 + ... + 2333626.

It is an arithmetic number, because the mean of its divisors is an integer number (82670149575).

Almost surely, 22231403410440 is an apocalyptic number.

2231403410440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231403410440 is an abundant number, since it is smaller than the sum of its proper divisors (3059486162360).

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

2231403410440 is a wasteful number, since it uses less digits than its factorization.

2231403410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326006 (or 3326002 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2231403410440 its reverse (440143041322), we get a palindrome (2671546451762).

The spelling of 2231403410440 in words is "two trillion, two hundred thirty-one billion, four hundred three million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 883 1766 3532 4415 7064 8830 16777 17660 33554 35320 67108 83885 134216 167770 335540 671080 3325093 6650186 13300372 16625465 26600744 33250930 63176767 66501860 126353534 133003720 252707068 315883835 505414136 631767670 1263535340 2527070680 2936057119 5872114238 11744228476 14680285595 23488456952 29360571190 55785085261 58721142380 111570170522 117442284760 223140341044 278925426305 446280682088 557850852610 1115701705220 2231403410440