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4230190080 = 21032591801
BaseRepresentation
bin1111110000100011…
…1001010000000000
3101220210211220212200
43330020321100000
532130412040310
61535431353200
7206554010454
oct37410712000
911823756780
104230190080
111880917466
129a0822800
1352551936c
142c1b54664
1519b5949c0
hexfc239400

4230190080 has 132 divisors (see below), whose sum is σ = 14657658132. Its totient is φ = 1128038400.

The previous prime is 4230190073. The next prime is 4230190091. The reversal of 4230190080 is 800910324.

It can be written as a sum of positive squares in 2 ways, for example, as 1680344064 + 2549846016 = 40992^2 + 50496^2 .

It is a super-2 number, since 2×42301900802 = 35789016225860812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 91980.

Almost surely, 24230190080 is an apocalyptic number.

4230190080 is a gapful number since it is divisible by the number (40) 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 4230190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328829066).

4230190080 is an abundant number, since it is smaller than the sum of its proper divisors (10427468052).

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

4230190080 is a wasteful number, since it uses less digits than its factorization.

4230190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91832 (or 91811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4230190080 is about 65039.9114390541. The cubic root of 4230190080 is about 1617.2852566461.

The spelling of 4230190080 in words is "four billion, two hundred thirty million, one hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 91801 183602 275403 367204 459005 550806 734408 826209 918010 1101612 1377015 1468816 1652418 1836020 2203224 2754030 2937632 3304836 3672040 4131045 4406448 5508060 5875264 6609672 7344080 8262090 8812896 11016120 11750528 13219344 14688160 16524180 17625792 22032240 23501056 26438688 29376320 33048360 35251584 44064480 47002112 52877376 58752640 66096720 70503168 88128960 94004224 105754752 117505280 132193440 141006336 176257920 211509504 235010560 264386880 282012672 352515840 423019008 470021120 528773760 705031680 846038016 1057547520 1410063360 2115095040 4230190080