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19993000212 = 223217191317077
BaseRepresentation
bin10010100111101011…
…001111100100010100
31220121100100122100100
4102213223033210110
5311421202001322
613103515214100
71305305461233
oct224753174424
956540318310
1019993000212
11852a588a79
123a5b747330
131b680c6853
14d793c2b1a
157c0336dac
hex4a7acf914

19993000212 has 72 divisors (see below), whose sum is σ = 53541784296. Its totient is φ = 6268667904.

The previous prime is 19993000189. The next prime is 19993000213. The reversal of 19993000212 is 21200039991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8611097616 + 11381902596 = 92796^2 + 106686^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993000213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162218 + ... + 1179294.

It is an arithmetic number, because the mean of its divisors is an integer number (743635893).

Almost surely, 219993000212 is an apocalyptic number.

19993000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19993000212 is an abundant number, since it is smaller than the sum of its proper divisors (33548784084).

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

19993000212 is a wasteful number, since it uses less digits than its factorization.

19993000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19017 (or 19012 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 19993000212 in words is "nineteen billion, nine hundred ninety-three million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1913 3826 5739 7652 11478 17077 17217 22956 32521 34154 34434 51231 65042 68308 68868 97563 102462 130084 153693 195126 204924 290309 292689 307386 390252 580618 585378 614772 870927 1161236 1170756 1741854 2612781 3483708 5225562 10451124 32668301 65336602 98004903 130673204 196009806 294014709 392019612 555361117 588029418 1110722234 1176058836 1666083351 2221444468 3332166702 4998250053 6664333404 9996500106 19993000212