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8198232240 = 24351123135017
BaseRepresentation
bin1111010001010011…
…10001100010110000
3210011100102100102010
413220221301202300
5113242221412430
63433300322520
7410105552502
oct75051614260
923140370363
108198232240
113527763250
1217096a3440
13a0862b8c3
1457ab49d72
1532eb05cb0
hex1e8a718b0

8198232240 has 160 divisors (see below), whose sum is σ = 28930576896. Its totient is φ = 1901025280.

The previous prime is 8198232149. The next prime is 8198232247. The reversal of 8198232240 is 422328918.

It is a super-2 number, since 2×81982322402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8198232247) 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, 6789 + ... + 128228.

Almost surely, 28198232240 is an apocalyptic number.

8198232240 is a gapful number since it is divisible by the number (80) 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 8198232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465288448).

8198232240 is an abundant number, since it is smaller than the sum of its proper divisors (20732344656).

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

8198232240 is a wasteful number, since it uses less digits than its factorization.

8198232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135067 (or 135061 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8198232240 is about 90544.0900335301. The cubic root of 8198232240 is about 2016.3847566534.

The spelling of 8198232240 in words is "eight billion, one hundred ninety-eight million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 30360 60720 135017 270034 405051 540068 675085 810102 1080136 1350170 1485187 1620204 2025255 2160272 2700340 2970374 3105391 3240408 4050510 4455561 5400680 5940748 6210782 6480816 7425935 8101020 8911122 9316173 10801360 11881496 12421564 14851870 15526955 16202040 17822244 18632346 22277805 23762992 24843128 29703740 31053910 32404080 34159301 35644488 37264692 44555610 46580865 49686256 59407480 62107820 68318602 71288976 74529384 89111220 93161730 102477903 118814960 124215640 136637204 149058768 170796505 178222440 186323460 204955806 248431280 273274408 341593010 356444880 372646920 409911612 512389515 546548816 683186020 745293840 819823224 1024779030 1366372040 1639646448 2049558060 2732744080 4099116120 8198232240