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196522320 = 24351971607
BaseRepresentation
bin10111011011010…
…11000101010000
3111200210100221110
423231223011100
5400302203240
631300053320
74604261241
oct1355530520
9450710843
10196522320
11a0a28145
1255994240
133193a3c7
141c158cc8
15123bdc80
hexbb6b150

196522320 has 160 divisors (see below), whose sum is σ = 651386880. Its totient is φ = 48867840.

The previous prime is 196522303. The next prime is 196522321. The reversal of 196522320 is 23225691.

196522320 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196522321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323457 + ... + 324063.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2196522320 is an apocalyptic number.

196522320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196522320 is the 8094-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325693440).

196522320 is an abundant number, since it is smaller than the sum of its proper divisors (454864560).

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

196522320 is a wasteful number, since it uses less digits than its factorization.

196522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 196522320 is about 14018.6418743044. The cubic root of 196522320 is about 581.3941097182.

The spelling of 196522320 in words is "one hundred ninety-six million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 71 76 80 95 114 120 142 152 190 213 228 240 284 285 304 355 380 426 456 568 570 607 710 760 852 912 1065 1136 1140 1214 1349 1420 1520 1704 1821 2130 2280 2428 2698 2840 3035 3408 3642 4047 4260 4560 4856 5396 5680 6070 6745 7284 8094 8520 9105 9712 10792 11533 12140 13490 14568 16188 17040 18210 20235 21584 23066 24280 26980 29136 32376 34599 36420 40470 43097 46132 48560 53960 57665 64752 69198 72840 80940 86194 92264 107920 115330 129291 138396 145680 161880 172388 172995 184528 215485 230660 258582 276792 323760 344776 345990 430970 461320 517164 553584 646455 689552 691980 818843 861940 922640 1034328 1292910 1383960 1637686 1723880 2068656 2456529 2585820 2767920 3275372 3447760 4094215 4913058 5171640 6550744 8188430 9826116 10343280 12282645 13101488 16376860 19652232 24565290 32753720 39304464 49130580 65507440 98261160 196522320