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219040380 = 223251393607
BaseRepresentation
bin11010000111001…
…00101001111100
3120021011101220200
431003210221330
5422033243010
633422443500
75266545456
oct1503445174
9507141820
10219040380
11102708309
1261433590
13364c29c0
142113b2d6
151436acc0
hexd0e4a7c

219040380 has 72 divisors (see below), whose sum is σ = 715539552. Its totient is φ = 53917056.

The previous prime is 219040313. The next prime is 219040399. The reversal of 219040380 is 83040912.

219040380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44464 + ... + 49143.

Almost surely, 2219040380 is an apocalyptic number.

219040380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219040380 is an abundant number, since it is smaller than the sum of its proper divisors (496499172).

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

219040380 is a wasteful number, since it uses less digits than its factorization.

219040380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93635 (or 93630 counting only the distinct ones).

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

The square root of 219040380 is about 14800.0128378323. The cubic root of 219040380 is about 602.8020603918.

The spelling of 219040380 in words is "two hundred nineteen million, forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 93607 187214 280821 374428 468035 561642 842463 936070 1123284 1216891 1404105 1684926 1872140 2433782 2808210 3369852 3650673 4212315 4867564 5616420 6084455 7301346 8424630 10952019 12168910 14602692 16849260 18253365 21904038 24337820 36506730 43808076 54760095 73013460 109520190 219040380