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22043413120 = 275173136473
BaseRepresentation
bin10100100001111000…
…111100101010000000
32002220020120102002011
4110201320330222000
5330121103204440
614043202502304
71410153630361
oct244170745200
962806512064
1022043413120
119391a285a3
124332364994
132103b42221
1410d1841b68
158903569ea
hex521e3ca80

22043413120 has 128 divisors (see below), whose sum is σ = 55984303440. Its totient is φ = 8270905344.

The previous prime is 22043413109. The next prime is 22043413121. The reversal of 22043413120 is 2131434022.

It can be written as a sum of positive squares in 8 ways, for example, as 2427729984 + 19615683136 = 49272^2 + 140056^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×220434131204 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22043413091 and 22043413100.

It is not an unprimeable number, because it can be changed into a prime (22043413121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3402204 + ... + 3408676.

Almost surely, 222043413120 is an apocalyptic number.

22043413120 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 22043413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992151720).

22043413120 is an abundant number, since it is smaller than the sum of its proper divisors (33940890320).

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

22043413120 is a wasteful number, since it uses less digits than its factorization.

22043413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22043413120 its reverse (2131434022), we get a palindrome (24174847142).

The spelling of 22043413120 in words is "twenty-two billion, forty-three million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 313 320 340 544 626 640 680 1088 1252 1360 1565 2176 2504 2720 3130 5008 5321 5440 6260 6473 10016 10642 10880 12520 12946 20032 21284 25040 25892 26605 32365 40064 42568 50080 51784 53210 64730 85136 100160 103568 106420 110041 129460 170272 200320 207136 212840 220082 258920 340544 414272 425680 440164 517840 550205 681088 828544 851360 880328 1035680 1100410 1702720 1760656 2026049 2071360 2200820 3405440 3521312 4052098 4142720 4401640 7042624 8104196 8803280 10130245 14085248 16208392 17606560 20260490 32416784 34442833 35213120 40520980 64833568 68885666 70426240 81041960 129667136 137771332 162083920 172214165 259334272 275542664 324167840 344428330 551085328 648335680 688856660 1102170656 1296671360 1377713320 2204341312 2755426640 4408682624 5510853280 11021706560 22043413120