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2145222435120 = 243543397523603
BaseRepresentation
bin11111001101111001001…
…110001010000100110000
321121002012020110220220020
4133031321032022010300
5240121403420410440
64321300201443440
7310662416556522
oct37157116120460
97532166426806
102145222435120
11757869158806
122a79127a0580
131273a8095b5b
1475b87921a12
153ac074423d0
hex1f37938a130

2145222435120 has 160 divisors (see below), whose sum is σ = 6821998816512. Its totient is φ = 557347101696.

The previous prime is 2145222435073. The next prime is 2145222435127. The reversal of 2145222435120 is 215342225412.

It is a super-2 number, since 2×21452224351202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145222435127) 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, 3835239 + ... + 4358841.

Almost surely, 22145222435120 is an apocalyptic number.

2145222435120 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 2145222435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410999408256).

2145222435120 is an abundant number, since it is smaller than the sum of its proper divisors (4676776381392).

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

2145222435120 is a wasteful number, since it uses less digits than its factorization.

2145222435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524059 (or 524053 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 2145222435120 in words is "two trillion, one hundred forty-five billion, two hundred twenty-two million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 397 430 516 645 688 794 860 1032 1191 1290 1588 1720 1985 2064 2382 2580 3176 3440 3970 4764 5160 5955 6352 7940 9528 10320 11910 15880 17071 19056 23820 31760 34142 47640 51213 68284 85355 95280 102426 136568 170710 204852 256065 273136 341420 409704 512130 523603 682840 819408 1024260 1047206 1365680 1570809 2048520 2094412 2618015 3141618 4097040 4188824 5236030 6283236 7854045 8377648 10472060 12566472 15708090 20944120 22514929 25132944 31416180 41888240 45029858 62832360 67544787 90059716 112574645 125664720 135089574 180119432 207870391 225149290 270179148 337723935 360238864 415740782 450298580 540358296 623611173 675447870 831481564 900597160 1039351955 1080716592 1247222346 1350895740 1662963128 1801194320 2078703910 2494444692 2701791480 3118055865 3325926256 4157407820 4988889384 5403582960 6236111730 8314815640 8938426813 9977778768 12472223460 16629631280 17876853626 24944446920 26815280439 35753707252 44692134065 49888893840 53630560878 71507414504 89384268130 107261121756 134076402195 143014829008 178768536260 214522243512 268152804390 357537072520 429044487024 536305608780 715074145040 1072611217560 2145222435120