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198614052 = 223372132887
BaseRepresentation
bin10111101011010…
…01110000100100
3111211201122021000
423311221300210
5401321122202
631412553300
74631122500
oct1365516044
9454648230
10198614052
11a212674a
1256622830
13321c0510
141c541300
151268391c
hexbd69c24

198614052 has 144 divisors (see below), whose sum is σ = 645294720. Its totient is φ = 52363584.

The previous prime is 198613991. The next prime is 198614071. The reversal of 198614052 is 250416891.

198614052 is a `hidden beast` number, since 198 + 61 + 405 + 2 = 666.

198614052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 198613998 and 198614016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67353 + ... + 70239.

Almost surely, 2198614052 is an apocalyptic number.

198614052 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 198614052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322647360).

198614052 is an abundant number, since it is smaller than the sum of its proper divisors (446680668).

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

198614052 is a wasteful number, since it uses less digits than its factorization.

198614052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198614052 is about 14093.0497763969. The cubic root of 198614052 is about 583.4495697258.

The spelling of 198614052 in words is "one hundred ninety-eight million, six hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 2887 3276 3822 4914 5292 5733 5774 7644 8661 9828 11466 11548 17199 17322 20209 22932 25983 34398 34644 37531 40418 51966 60627 68796 75062 77949 80836 103932 112593 121254 141463 150124 155898 181881 225186 242508 262717 282926 311796 337779 363762 424389 450372 525434 545643 565852 675558 727524 788151 848778 1013337 1050868 1091286 1273167 1351116 1576302 1697556 1839019 2026674 2182572 2364453 2546334 3152604 3678038 3819501 4053348 4728906 5092668 5517057 7093359 7356076 7639002 9457812 11034114 14186718 15278004 16551171 22068228 28373436 33102342 49653513 66204684 99307026 198614052