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22234465142120 = 23571119379946431
BaseRepresentation
bin1010000111000110111010…
…11001011000010101101000
32220201121001002211122222102
411003203131121120111220
510403242141034021440
6115142212224512532
74453246526242610
oct503433531302550
986647032748872
1022234465142120
1170a2646a15450
1225b123147b748
13c5391631c99a
1456c22226ba40
15288581e16b15
hex1438dd658568

22234465142120 has 128 divisors (see below), whose sum is σ = 65654743449600. Its totient is φ = 6565474310400.

The previous prime is 22234465142107. The next prime is 22234465142191. The reversal of 22234465142120 is 2124156443222.

It is a super-2 number, since 2×222344651421202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 189914696 + ... + 190031735.

It is an arithmetic number, because the mean of its divisors is an integer number (512927683200).

Almost surely, 222234465142120 is an apocalyptic number.

22234465142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22234465142120 is an abundant number, since it is smaller than the sum of its proper divisors (43420278307480).

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

22234465142120 is a wasteful number, since it uses less digits than its factorization.

22234465142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379946479 (or 379946475 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 22234465142120 in words is "twenty-two trillion, two hundred thirty-four billion, four hundred sixty-five million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 29260 58520 379946431 759892862 1519785724 1899732155 2659625017 3039571448 3799464310 4179410741 5319250034 7218982189 7598928620 8358821482 10638500068 13298125085 14437964378 15197857240 16717642964 20897053705 21277000136 26596250170 28875928756 29255875187 33435285928 36094910945 41794107410 50532875323 53192500340 57751857512 58511750374 72189821890 79408804079 83588214820 101065750646 106385000680 117023500748 144379643780 146279375935 158817608158 167176429640 202131501292 234047001496 252664376615 288759287560 292558751870 317635216316 397044020395 404263002584 505328753230 555861628553 585117503740 635270432632 794088040790 1010657506460 1111723257106 1170235007480 1588176081580 2021315012920 2223446514212 2779308142765 3176352163160 4446893028424 5558616285530 11117232571060 22234465142120