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201946112 = 21053612
BaseRepresentation
bin11000000100101…
…11010000000000
3112001222220222122
430002113100000
5403144233422
632012223412
75001341114
oct1402272000
9461886878
10201946112
11a3aa2115
125776ab68
1332ab9054
141cb6b744
1512ae0d42
hexc097400

201946112 has 66 divisors (see below), whose sum is σ = 418165254. Its totient is φ = 97443840.

The previous prime is 201946099. The next prime is 201946139. The reversal of 201946112 is 211649102.

It can be written as a sum of positive squares in 3 ways, for example, as 1893376 + 200052736 = 1376^2 + 14144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3310562 + ... + 3310622.

Almost surely, 2201946112 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 201946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209082627).

201946112 is an abundant number, since it is smaller than the sum of its proper divisors (216219142).

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

201946112 is an frugal number, since it uses more digits than its factorization.

201946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 201946112 is about 14210.7745038756. The cubic root of 201946112 is about 586.6942503100.

The spelling of 201946112 in words is "two hundred one million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 256 424 488 512 848 976 1024 1696 1952 3233 3392 3721 3904 6466 6784 7442 7808 12932 13568 14884 15616 25864 27136 29768 31232 51728 54272 59536 62464 103456 119072 197213 206912 238144 394426 413824 476288 788852 827648 952576 1577704 1655296 1905152 3155408 3310592 3810304 6310816 12621632 25243264 50486528 100973056 201946112