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198072270 = 233511173923
BaseRepresentation
bin10111100111001…
…01011111001110
3111210201010002000
423303211133032
5401201303040
631353213130
74623405114
oct1363453716
9453633060
10198072270
11a18966a0
12564011a6
1332060a36
141c43dab4
15125c8130
hexbce57ce

198072270 has 128 divisors (see below), whose sum is σ = 610260480. Its totient is φ = 45181440.

The previous prime is 198072269. The next prime is 198072311. The reversal of 198072270 is 72270891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48529 + ... + 52451.

It is an arithmetic number, because the mean of its divisors is an integer number (4767660).

Almost surely, 2198072270 is an apocalyptic number.

198072270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198072270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305130240).

198072270 is an abundant number, since it is smaller than the sum of its proper divisors (412188210).

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

198072270 is a wasteful number, since it uses less digits than its factorization.

198072270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 198072270 is about 14073.8150478113. The cubic root of 198072270 is about 582.9185728321.

The spelling of 198072270 in words is "one hundred ninety-eight million, seventy-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 3923 4590 5049 5610 7846 8415 10098 11769 16830 19615 23538 25245 35307 39230 43153 50490 58845 66691 70614 86306 105921 117690 129459 133382 176535 200073 211842 215765 258918 333455 353070 388377 400146 431530 529605 600219 647295 666910 733601 776754 1000365 1059210 1165131 1200438 1294590 1467202 1800657 1941885 2000730 2200803 2330262 3001095 3601314 3668005 3883770 4401606 5825655 6002190 6602409 7336010 9003285 11004015 11651310 13204818 18006570 19807227 22008030 33012045 39614454 66024090 99036135 198072270