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198068464 = 24111961971
BaseRepresentation
bin10111100111001…
…00100011110000
3111210200220212001
423303210203300
5401201142324
631353143344
74623361036
oct1363444360
9453626761
10198068464
11a1893850
12563bab54
133205c099
141c43c556
15125c6e44
hexbce48f0

198068464 has 80 divisors (see below), whose sum is σ = 448364160. Its totient is φ = 83808000.

The previous prime is 198068447. The next prime is 198068537. The reversal of 198068464 is 464860891.

198068464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1980684642 = 78462232862638592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203499 + ... + 204469.

It is an arithmetic number, because the mean of its divisors is an integer number (5604552).

Almost surely, 2198068464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198068464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224182080).

198068464 is an abundant number, since it is smaller than the sum of its proper divisors (250295696).

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

198068464 is a wasteful number, since it uses less digits than its factorization.

198068464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 198068464 is about 14073.6798315153. The cubic root of 198068464 is about 582.9148391742.

The spelling of 198068464 in words is "one hundred ninety-eight million, sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 61 76 88 122 152 176 209 244 304 418 488 671 836 971 976 1159 1342 1672 1942 2318 2684 3344 3884 4636 5368 7768 9272 10681 10736 12749 15536 18449 18544 21362 25498 36898 42724 50996 59231 73796 85448 101992 118462 147592 170896 202939 203984 236924 295184 405878 473848 651541 811756 947696 1125389 1303082 1623512 2250778 2606164 3247024 4501556 5212328 9003112 10424656 12379279 18006224 24758558 49517116 99034232 198068464