Search a number
-
+
201220320 = 2535759887
BaseRepresentation
bin10111111111001…
…10000011100000
3112000122001101110
423333212003200
5403003022240
631544503320
74662226110
oct1377460340
9460561343
10201220320
11a3646894
125747ab40
13328c38a2
141ca1d040
15129eac80
hexbfe60e0

201220320 has 96 divisors (see below), whose sum is σ = 724405248. Its totient is φ = 45992448.

The previous prime is 201220309. The next prime is 201220321. The reversal of 201220320 is 23022102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201220296 and 201220305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26584 + ... + 33303.

It is an arithmetic number, because the mean of its divisors is an integer number (7545888).

Almost surely, 2201220320 is an apocalyptic number.

201220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220320 is an abundant number, since it is smaller than the sum of its proper divisors (523184928).

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

201220320 is a wasteful number, since it uses less digits than its factorization.

201220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59912 (or 59904 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201220320 is about 14185.2148379924. The cubic root of 201220320 is about 585.9905491454.

Adding to 201220320 its reverse (23022102), we get a palindrome (224242422).

The spelling of 201220320 in words is "two hundred one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 59887 119774 179661 239548 299435 359322 419209 479096 598870 718644 838418 898305 958192 1197740 1257627 1437288 1676836 1796610 1916384 2096045 2395480 2515254 2874576 3353672 3593220 4192090 4790960 5030508 5749152 6288135 6707344 7186440 8384180 9581920 10061016 12576270 13414688 14372880 16768360 20122032 25152540 28745760 33536720 40244064 50305080 67073440 100610160 201220320