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2222314222440 = 2335132415911039
BaseRepresentation
bin100000010101101100001…
…111111111001101101000
321212110011220021111002110
4200111230033333031220
5242402244420104230
64420530030202320
7316362006134124
oct40255417771550
97773156244073
102222314222440
11787529496634
122ba8486533a0
13131742842a60
14797bc348584
153cc1a44d4b0
hex2056c3ff368

2222314222440 has 128 divisors (see below), whose sum is σ = 7209577267200. Its totient is φ = 544761262080.

The previous prime is 2222314222439. The next prime is 2222314222481. The reversal of 2222314222440 is 442224132222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2222314222398 and 2222314222407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2579560 + ... + 3331479.

It is an arithmetic number, because the mean of its divisors is an integer number (56324822400).

Almost surely, 22222314222440 is an apocalyptic number.

2222314222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222314222440 is an abundant number, since it is smaller than the sum of its proper divisors (4987263044760).

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

2222314222440 is a wasteful number, since it uses less digits than its factorization.

2222314222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911307 (or 5911303 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2222314222440 its reverse (442224132222), we get a palindrome (2664538354662).

It can be divided in two parts, 222231 and 4222440, that added together give a triangular number (4444671 = T2981).

The spelling of 2222314222440 in words is "two trillion, two hundred twenty-two billion, three hundred fourteen million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 241 260 312 390 482 520 723 780 964 1205 1446 1560 1928 2410 2892 3133 3615 4820 5784 6266 7230 9399 9640 12532 14460 15665 18798 25064 28920 31330 37596 46995 62660 75192 93990 125320 187980 375960 5911039 11822078 17733117 23644156 29555195 35466234 47288312 59110390 70932468 76843507 88665585 118220780 141864936 153687014 177331170 230530521 236441560 307374028 354662340 384217535 461061042 614748056 709324680 768435070 922122084 1152652605 1424560399 1536870140 1844244168 2305305210 2849120798 3073740280 4273681197 4610610420 5698241596 7122801995 8547362394 9221220840 11396483192 14245603990 17094724788 18519285187 21368405985 28491207980 34189449576 37038570374 42736811970 55557855561 56982415960 74077140748 85473623940 92596425935 111115711122 148154281496 170947247880 185192851870 222231422244 277789277805 370385703740 444462844488 555578555610 740771407480 1111157111220 2222314222440