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201323220 = 223572916529
BaseRepresentation
bin10111111111111…
…11001011010100
3112000211021112120
423333333023110
5403014320340
631551015540
74663135110
oct1377771324
9460737476
10201323220
11a370712a
125750a5b0
133292b687
141ca48740
1512a1b4d0
hexbfff2d4

201323220 has 96 divisors (see below), whose sum is σ = 666489600. Its totient is φ = 44427264.

The previous prime is 201323219. The next prime is 201323237. The reversal of 201323220 is 22323102.

201323220 = T21 + T22 + ... + T1064.

It is a super-2 number, since 2×2013232202 = 81062077822336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201323220.

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, 3916 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (6942600).

Almost surely, 2201323220 is an apocalyptic number.

201323220 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 201323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333244800).

201323220 is an abundant number, since it is smaller than the sum of its proper divisors (465166380).

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

201323220 is a wasteful number, since it uses less digits than its factorization.

201323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577 (or 16575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201323220 is about 14188.8413903321. The cubic root of 201323220 is about 586.0904200265.

Adding to 201323220 its reverse (22323102), we get a palindrome (223646322).

The spelling of 201323220 in words is "two hundred one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 16529 33058 49587 66116 82645 99174 115703 165290 198348 231406 247935 330580 347109 462812 479341 495870 578515 694218 958682 991740 1157030 1388436 1438023 1735545 1917364 2314060 2396705 2876046 3355387 3471090 4793410 5752092 6710774 6942180 7190115 9586820 10066161 13421548 14380230 16776935 20132322 28760460 33553870 40264644 50330805 67107740 100661610 201323220