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2243122024440 = 2335114736156061
BaseRepresentation
bin100000101001000100011…
…111011100111111111000
321221102220000211100100210
4200221010133130333320
5243222403214240230
64434250453431120
7321026440420653
oct40510437347770
97842800740323
102243122024440
117953369a5210
1230289503b4a0
131336aa6a282b
147a7d3a2a89a
153d537082eb0
hex20a447dcff8

2243122024440 has 128 divisors (see below), whose sum is σ = 7497321016320. Its totient is φ = 532217203200.

The previous prime is 2243122024387. The next prime is 2243122024447. The reversal of 2243122024440 is 444202213422.

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 = 2243122024398 and 2243122024407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243122024447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18015991 + ... + 18140070.

It is an arithmetic number, because the mean of its divisors is an integer number (58572820440).

Almost surely, 22243122024440 is an apocalyptic number.

2243122024440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243122024440 is an abundant number, since it is smaller than the sum of its proper divisors (5254198991880).

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

2243122024440 is a wasteful number, since it uses less digits than its factorization.

2243122024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36156133 (or 36156129 counting only the distinct ones).

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

Adding to 2243122024440 its reverse (444202213422), we get a palindrome (2687324237862).

The spelling of 2243122024440 in words is "two trillion, two hundred forty-three billion, one hundred twenty-two million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 36156061 72312122 108468183 144624244 180780305 216936366 289248488 361560610 397716671 433872732 542340915 723121220 795433342 867745464 1084681830 1193150013 1446242440 1590866684 1699334867 1988583355 2169363660 2386300026 3181733368 3398669734 3977166710 4338727320 4772600052 5098004601 5965750065 6797339468 7954333420 8496674335 9545200104 10196009202 11931500130 13594678936 15908666840 16993348670 18692683537 20392018404 23863000260 25490023005 33986697340 37385367074 40784036808 47726000520 50980046010 56078050611 67973394680 74770734148 93463417685 101960092020 112156101222 149541468296 186926835370 203920184040 224312202444 280390253055 373853670740 448624404888 560780506110 747707341480 1121561012220 2243122024440