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219490740 = 2232571710247
BaseRepresentation
bin11010001010100…
…10100110110100
3120022000021200200
431011102212310
5422142200430
633440240500
75303432460
oct1505224664
9508007620
10219490740
11102995707
1261610130
133661c9a1
14212174a0
1514409460
hexd1529b4

219490740 has 144 divisors (see below), whose sum is σ = 805738752. Its totient is φ = 47213568.

The previous prime is 219490729. The next prime is 219490769. The reversal of 219490740 is 47094912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 219490695 and 219490704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16297 + ... + 26543.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2219490740 is an apocalyptic number.

219490740 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 219490740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402869376).

219490740 is an abundant number, since it is smaller than the sum of its proper divisors (586248012).

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

219490740 is a wasteful number, since it uses less digits than its factorization.

219490740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 219490740 is about 14815.2198768699. The cubic root of 219490740 is about 603.2149098245.

The spelling of 219490740 in words is "two hundred nineteen million, four hundred ninety thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10247 10710 20494 21420 30741 40988 51235 61482 71729 92223 102470 122964 143458 153705 174199 184446 204940 215187 286916 307410 348398 358645 368892 430374 461115 522597 614820 645561 696796 717290 860748 870995 922230 1045194 1075935 1219393 1291122 1434580 1567791 1741990 1844460 2090388 2151870 2438786 2582244 2612985 3135582 3227805 3483980 3658179 4303740 4877572 5225970 6096965 6271164 6455610 7316358 7838955 10451940 10974537 12193930 12911220 14632716 15677910 18290895 21949074 24387860 31355820 36581790 43898148 54872685 73163580 109745370 219490740