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196669152 = 253219127283
BaseRepresentation
bin10111011100011…
…10111011100000
3111201001211100200
423232032323200
5400321403102
631303145200
74605442311
oct1356167340
9451054320
10196669152
11a1018499
1255a45200
133198c1a4
141c196608
15123ec51c
hexbb8eee0

196669152 has 144 divisors (see below), whose sum is σ = 595445760. Its totient is φ = 61399296.

The previous prime is 196669147. The next prime is 196669153. The reversal of 196669152 is 251966691.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 196669098 and 196669107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196669153) 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, 694803 + ... + 695085.

It is an arithmetic number, because the mean of its divisors is an integer number (4135040).

Almost surely, 2196669152 is an apocalyptic number.

196669152 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 196669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297722880).

196669152 is an abundant number, since it is smaller than the sum of its proper divisors (398776608).

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

196669152 is a wasteful number, since it uses less digits than its factorization.

196669152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 196669152 is about 14023.8779230283. The cubic root of 196669152 is about 581.5388702183.

The spelling of 196669152 in words is "one hundred ninety-six million, six hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 127 144 152 171 228 254 283 288 304 342 381 456 508 566 608 684 762 849 912 1016 1132 1143 1368 1524 1698 1824 2032 2264 2286 2413 2547 2736 3048 3396 4064 4528 4572 4826 5094 5377 5472 6096 6792 7239 9056 9144 9652 10188 10754 12192 13584 14478 16131 18288 19304 20376 21508 21717 27168 28956 32262 35941 36576 38608 40752 43016 43434 48393 57912 64524 71882 77216 81504 86032 86868 96786 107823 115824 129048 143764 172064 173736 193572 215646 231648 258096 287528 323469 347472 387144 431292 516192 575056 646938 682879 694944 774288 862584 1150112 1293876 1365758 1548576 1725168 2048637 2587752 2731516 3450336 4097274 5175504 5463032 6145911 8194548 10351008 10926064 12291822 16389096 21852128 24583644 32778192 49167288 65556384 98334576 196669152