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22253414034000 = 243535776427907
BaseRepresentation
bin1010000111101010001101…
…10101101010101001010000
32220210101221200112002221210
411003311012311222221100
510404044442443042000
6115155024405220120
74454520226204422
oct503650665525120
986711850462853
1022253414034000
1170aa690093376
1225b4a3b401640
13c55646004846
1456d0dcb00812
15288ce0758350
hex143d46d6aa50

22253414034000 has 160 divisors (see below), whose sum is σ = 71869359459456. Its totient is φ = 5923958169600.

The previous prime is 22253414033999. The next prime is 22253414034041. The reversal of 22253414034000 is 43041435222.

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

It is a congruent number.

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, 248047 + ... + 6675953.

Almost surely, 222253414034000 is an apocalyptic number.

22253414034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22253414034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35934679729728).

22253414034000 is an abundant number, since it is smaller than the sum of its proper divisors (49615945425456).

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

22253414034000 is a wasteful number, since it uses less digits than its factorization.

22253414034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428510 (or 6428494 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22253414034000 its reverse (43041435222), we get a palindrome (22296455469222).

The spelling of 22253414034000 in words is "twenty-two trillion, two hundred fifty-three billion, four hundred fourteen million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 577 600 750 1000 1154 1200 1500 1731 2000 2308 2885 3000 3462 4616 5770 6000 6924 8655 9232 11540 13848 14425 17310 23080 27696 28850 34620 43275 46160 57700 69240 72125 86550 115400 138480 144250 173100 216375 230800 288500 346200 432750 577000 692400 865500 1154000 1731000 3462000 6427907 12855814 19283721 25711628 32139535 38567442 51423256 64279070 77134884 96418605 102846512 128558140 154269768 160697675 192837210 257116280 308539536 321395350 385674420 482093025 514232560 642790700 771348840 803488375 964186050 1285581400 1542697680 1606976750 1928372100 2410465125 2571162800 3213953500 3708902339 3856744200 4820930250 6427907000 7417804678 7713488400 9641860500 11126707017 12855814000 14835609356 18544511695 19283721000 22253414034 29671218712 37089023390 38567442000 44506828068 55633535085 59342437424 74178046780 89013656136 92722558475 111267070170 148356093560 178027312272 185445116950 222534140340 278167675425 296712187120 370890233900 445068280680 463612792375 556335350850 741780467800 890136561360 927225584750 1112670701700 1390838377125 1483560935600 1854451169500 2225341403400 2781676754250 3708902339000 4450682806800 5563353508500 7417804678000 11126707017000 22253414034000