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201332196 = 223313193743
BaseRepresentation
bin11000000000000…
…01010111100100
3112000211201212000
430000001113210
5403020112241
631551125300
74663203222
oct1400012744
9460751760
10201332196
11a371294a
1257513830
13329327a0
141ca4bb12
1512a1deb6
hexc0015e4

201332196 has 96 divisors (see below), whose sum is σ = 565797120. Its totient is φ = 61544448.

The previous prime is 201332171. The next prime is 201332233. The reversal of 201332196 is 691233102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270601 + ... + 271343.

It is an arithmetic number, because the mean of its divisors is an integer number (5893720).

Almost surely, 2201332196 is an apocalyptic number.

201332196 is a gapful number since it is divisible by the number (26) 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 201332196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282898560).

201332196 is an abundant number, since it is smaller than the sum of its proper divisors (364464924).

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

201332196 is a wasteful number, since it uses less digits than its factorization.

201332196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 201332196 is about 14189.1576917025. The cubic root of 201332196 is about 586.0991301816.

Adding to 201332196 its reverse (691233102), we get a palindrome (892565298).

The spelling of 201332196 in words is "two hundred one million, three hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 193 234 351 386 468 579 702 743 772 1158 1404 1486 1737 2229 2316 2509 2972 3474 4458 5018 5211 6687 6948 7527 8916 9659 10036 10422 13374 15054 19318 20061 20844 22581 26748 28977 30108 38636 40122 45162 57954 67743 80244 86931 90324 115908 135486 143399 173862 260793 270972 286798 347724 430197 521586 573596 860394 1043172 1290591 1720788 1864187 2581182 3728374 3871773 5162364 5592561 7456748 7743546 11185122 15487092 16777683 22370244 33555366 50333049 67110732 100666098 201332196