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196522848 = 2535127199
BaseRepresentation
bin10111011011010…
…11001101100000
3111200210101200000
423231223031200
5400302212343
631300100000
74604262624
oct1355531540
9450711600
10196522848
11a0a28585
1255994600
133193a712
141c159184
15123bded3
hexbb6b360

196522848 has 144 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 64665216.

The previous prime is 196522831. The next prime is 196522861. The reversal of 196522848 is 848225691.

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

It is a super-2 number, since 2×1965228482 = 77242459572062208, 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 23 ways as a sum of consecutive naturals, for example, 987453 + ... + 987651.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2196522848 is an apocalyptic number.

196522848 is a gapful number since it is divisible by the number (18) 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 196522848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

196522848 is an abundant number, since it is smaller than the sum of its proper divisors (390536352).

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

196522848 is a wasteful number, since it uses less digits than its factorization.

196522848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 196522848 is about 14018.6607063585. The cubic root of 196522848 is about 581.3946303983.

It can be divided in two parts, 19652 and 2848, that added together give a square (22500 = 1502).

The spelling of 196522848 in words is "one hundred ninety-six million, five hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 199 216 243 254 288 324 381 398 432 486 508 597 648 762 796 864 972 1016 1143 1194 1296 1524 1592 1791 1944 2032 2286 2388 2592 3048 3184 3429 3582 3888 4064 4572 4776 5373 6096 6368 6858 7164 7776 9144 9552 10287 10746 12192 13716 14328 16119 18288 19104 20574 21492 25273 27432 28656 30861 32238 36576 41148 42984 48357 50546 54864 57312 61722 64476 75819 82296 85968 96714 101092 109728 123444 128952 151638 164592 171936 193428 202184 227457 246888 257904 303276 329184 386856 404368 454914 493776 515808 606552 682371 773712 808736 909828 987552 1213104 1364742 1547424 1819656 2047113 2426208 2729484 3639312 4094226 5458968 6141339 7278624 8188452 10917936 12282678 16376904 21835872 24565356 32753808 49130712 65507616 98261424 196522848