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201032442 = 2351347677
BaseRepresentation
bin10111111101110…
…00001011111010
3112000021111200000
423332320023322
5402431014232
631540453430
74660514262
oct1376701372
9460244600
10201032442
11a3528716
12573aa276
1332859210
141c9b07a2
15129b027c
hexbfb82fa

201032442 has 96 divisors (see below), whose sum is σ = 497532672. Its totient is φ = 60450624.

The previous prime is 201032431. The next prime is 201032449. The reversal of 201032442 is 244230102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201032449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296608 + ... + 297284.

It is an arithmetic number, because the mean of its divisors is an integer number (5182632).

Almost surely, 2201032442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201032442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248766336).

201032442 is an abundant number, since it is smaller than the sum of its proper divisors (296500230).

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

201032442 is a wasteful number, since it uses less digits than its factorization.

201032442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201032442 is about 14178.5909737181. The cubic root of 201032442 is about 585.8081139336.

Adding to 201032442 its reverse (244230102), we get a palindrome (445262544).

The spelling of 201032442 in words is "two hundred one million, thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 162 234 243 282 351 423 486 611 677 702 846 1053 1222 1269 1354 1833 2031 2106 2538 3159 3666 3807 4062 5499 6093 6318 7614 8801 10998 11421 12186 16497 17602 18279 22842 26403 31819 32994 36558 49491 52806 54837 63638 79209 95457 98982 109674 148473 158418 164511 190914 237627 286371 296946 329022 413647 475254 572742 712881 827294 859113 1240941 1425762 1718226 2138643 2481882 2577339 3722823 4277286 5154678 7445646 7732017 11168469 15464034 22336938 33505407 67010814 100516221 201032442