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196998912 = 2833112591
BaseRepresentation
bin10111011110111…
…11011100000000
3111201200120201000
423233133130000
5400412431122
631314212000
74611314565
oct1357373400
9451616630
10196998912
11a1223220
1255b84000
1331a76306
141c24086c
15124650ac
hexbbdf700

196998912 has 144 divisors (see below), whose sum is σ = 635765760. Its totient is φ = 59673600.

The previous prime is 196998911. The next prime is 196998913. The reversal of 196998912 is 219899691.

It is an interprime number because it is at equal distance from previous prime (196998911) and next prime (196998913).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196998911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74737 + ... + 77327.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2196998912 is an apocalyptic number.

196998912 is a gapful number since it is divisible by the number (12) 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 196998912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317882880).

196998912 is an abundant number, since it is smaller than the sum of its proper divisors (438766848).

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

196998912 is a wasteful number, since it uses less digits than its factorization.

196998912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2607 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The square root of 196998912 is about 14035.6300891695. The cubic root of 196998912 is about 581.8637155652.

The spelling of 196998912 in words is "one hundred ninety-six million, nine hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2591 2816 3168 3456 4224 4752 5182 6336 6912 7773 8448 9504 10364 12672 15546 19008 20728 23319 25344 28501 31092 38016 41456 46638 57002 62184 69957 76032 82912 85503 93276 114004 124368 139914 165824 171006 186552 228008 248736 256509 279828 331648 342012 373104 456016 497472 513018 559656 663296 684024 746208 769527 912032 994944 1026036 1119312 1368048 1492416 1539054 1824064 1989888 2052072 2238624 2736096 2984832 3078108 3648128 4104144 4477248 5472192 5969664 6156216 7296256 8208288 8954496 10944384 12312432 16416576 17908992 21888768 24624864 32833152 49249728 65666304 98499456 196998912