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196822464 = 26317471283
BaseRepresentation
bin10111011101101…
…00010111000000
3111201100121122220
423232310113000
5400341304324
631310331040
74606651266
oct1356642700
9451317586
10196822464
11a11126a3
1255ab9a80
1331a13bc7
141c1d6436
151242cb79
hexbbb45c0

196822464 has 112 divisors (see below), whose sum is σ = 563563008. Its totient is φ = 60387328.

The previous prime is 196822459. The next prime is 196822469. The reversal of 196822464 is 464228691.

196822464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196822459) and next prime (196822469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196822469) 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, 152767 + ... + 154049.

Almost surely, 2196822464 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 196822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281781504).

196822464 is an abundant number, since it is smaller than the sum of its proper divisors (366740544).

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

196822464 is a wasteful number, since it uses less digits than its factorization.

196822464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 196822464 is about 14029.3429639452. The cubic root of 196822464 is about 581.6899424279.

The spelling of 196822464 in words is "one hundred ninety-six million, eight hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 136 141 188 192 204 272 282 376 408 544 564 752 799 816 1088 1128 1283 1504 1598 1632 2256 2397 2566 3008 3196 3264 3849 4512 4794 5132 6392 7698 9024 9588 10264 12784 15396 19176 20528 21811 25568 30792 38352 41056 43622 51136 60301 61584 65433 76704 82112 87244 120602 123168 130866 153408 174488 180903 241204 246336 261732 348976 361806 482408 523464 697952 723612 964816 1025117 1046928 1395904 1447224 1929632 2050234 2093856 2894448 3075351 3859264 4100468 4187712 5788896 6150702 8200936 11577792 12301404 16401872 24602808 32803744 49205616 65607488 98411232 196822464