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2243122420440 = 2335111989438693
BaseRepresentation
bin100000101001000100100…
…000111101101011011000
321221102220001120110120110
4200221010200331223120
5243222403314423230
64434250510124320
7321026443660326
oct40510440755330
97842801513513
102243122420440
11795337145790
123028951b06a0
131336aa7b0b55
147a7d3ad0d16
153d5371104b0
hex20a4483dad8

2243122420440 has 128 divisors (see below), whose sum is σ = 7727503161600. Its totient is φ = 515166865920.

The previous prime is 2243122420433. The next prime is 2243122420453. The reversal of 2243122420440 is 440242213422.

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 = 2243122420398 and 2243122420407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44694267 + ... + 44744426.

It is an arithmetic number, because the mean of its divisors is an integer number (60371118450).

Almost surely, 22243122420440 is an apocalyptic number.

2243122420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243122420440 is an abundant number, since it is smaller than the sum of its proper divisors (5484380741160).

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

2243122420440 is a wasteful number, since it uses less digits than its factorization.

2243122420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89438737 (or 89438733 counting only the distinct ones).

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

Adding to 2243122420440 its reverse (440242213422), we get a palindrome (2683364633862).

The spelling of 2243122420440 in words is "two trillion, two hundred forty-three billion, one hundred twenty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 89438693 178877386 268316079 357754772 447193465 536632158 715509544 894386930 983825623 1073264316 1341580395 1699335167 1788773860 1967651246 2146528632 2683160790 2951476869 3398670334 3577547720 3935302492 4919128115 5098005501 5366321580 5902953738 6797340668 7870604984 8496675835 9838256230 10196011002 10732643160 11805907476 13594681336 14757384345 16993351670 18692686837 19676512460 20392022004 23611814952 25490027505 29514768690 33986703340 37385373674 39353024920 40784044008 50980055010 56078060511 59029537380 67973406680 74770747348 93463434185 101960110020 112156121022 118059074760 149541494696 186926868370 203920220040 224312242044 280390302555 373853736740 448624484088 560780605110 747707473480 1121561210220 2243122420440