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201148220 = 225713791399
BaseRepresentation
bin10111111110101…
…00011100111100
3112000111101111002
423333110130330
5402443220340
631543145432
74661505650
oct1377243474
9460441432
10201148220
11a35a76a9
1257445278
1332899b20
141ca00a60
15129d4715
hexbfd473c

201148220 has 96 divisors (see below), whose sum is σ = 526848000. Its totient is φ = 62809344.

The previous prime is 201148219. The next prime is 201148261. The reversal of 201148220 is 22841102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201148192 and 201148201.

It is a congruent number.

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, 143081 + ... + 144479.

It is an arithmetic number, because the mean of its divisors is an integer number (5488000).

Almost surely, 2201148220 is an apocalyptic number.

201148220 is a gapful number since it is divisible by the number (20) 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 201148220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263424000).

201148220 is an abundant number, since it is smaller than the sum of its proper divisors (325699780).

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

201148220 is a wasteful number, since it uses less digits than its factorization.

201148220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 201148220 is about 14182.6732317994. The cubic root of 201148220 is about 585.9205513012.

Adding to 201148220 its reverse (22841102), we get a palindrome (223989322).

The spelling of 201148220 in words is "two hundred one million, one hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1399 1580 1820 2054 2212 2765 2798 4108 5135 5530 5596 6995 7189 9793 10270 11060 13990 14378 18187 19586 20540 27980 28756 35945 36374 39172 48965 71890 72748 90935 97930 110521 127309 143780 181870 195860 221042 254618 363740 442084 509236 552605 636545 773647 1105210 1273090 1436773 1547294 2210420 2546180 2873546 3094588 3868235 5747092 7183865 7736470 10057411 14367730 15472940 20114822 28735460 40229644 50287055 100574110 201148220