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2241430002231 = 372631298331259
BaseRepresentation
bin100000100111011111101…
…000111001101000110111
321221021112002222201020120
4200213133220321220313
5243210422040032411
64433410531503023
7320636503443420
oct40473750715067
97837462881216
102241430002231
11794648890952
123024a2457a73
1313349ac8a564
147a6b3020647
153d488758106
hex209dfa39a37

2241430002231 has 32 divisors (see below), whose sum is σ = 3428872888320. Its totient is φ = 1275808023264.

The previous prime is 2241430002191. The next prime is 2241430002283. The reversal of 2241430002231 is 1322000341422.

It is a happy number.

It is not a de Polignac number, because 2241430002231 - 29 = 2241430001719 is a prime.

It is a super-2 number, since 2×22414300022312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241430001231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71689480 + ... + 71720738.

It is an arithmetic number, because the mean of its divisors is an integer number (107152277760).

Almost surely, 22241430002231 is an apocalyptic number.

2241430002231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2241430002231 is a deficient number, since it is larger than the sum of its proper divisors (1187442886089).

2241430002231 is a wasteful number, since it uses less digits than its factorization.

2241430002231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44515.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2241430002231 its reverse (1322000341422), we get a palindrome (3563430343653).

The spelling of 2241430002231 in words is "two trillion, two hundred forty-one billion, four hundred thirty million, two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 263 789 1841 5523 12983 31259 38949 90881 93777 218813 272643 656439 3414529 8221117 10243587 23901703 24663351 57547819 71705109 172643457 405835597 1217506791 2840849179 8522547537 106734762011 320204286033 747143334077 2241430002231