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201222420 = 22357268443
BaseRepresentation
bin10111111111001…
…10100100010100
3112000122011021020
423333212210110
5403003104140
631544521140
74662235200
oct1377464424
9460564236
10201222420
11a3648423
12574801b0
13328c4829
141ca1db00
15129eb6d0
hexbfe6914

201222420 has 72 divisors (see below), whose sum is σ = 655419744. Its totient is φ = 45993024.

The previous prime is 201222409. The next prime is 201222451. The reversal of 201222420 is 24222102.

201222420 = T85 + T86 + ... + T1064.

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 201222420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31282 + ... + 37161.

It is an arithmetic number, because the mean of its divisors is an integer number (9103052).

Almost surely, 2201222420 is an apocalyptic number.

201222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222420 is an abundant number, since it is smaller than the sum of its proper divisors (454197324).

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

201222420 is a wasteful number, since it uses less digits than its factorization.

201222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68469 (or 68460 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 201222420 is about 14185.2888585323. The cubic root of 201222420 is about 585.9925876669.

Adding to 201222420 its reverse (24222102), we get a palindrome (225444522).

The spelling of 201222420 in words is "two hundred one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 68443 136886 205329 273772 342215 410658 479101 684430 821316 958202 1026645 1368860 1437303 1916404 2053290 2395505 2874606 3353707 4106580 4791010 5749212 6707414 7186515 9582020 10061121 13414828 14373030 16768535 20122242 28746060 33537070 40244484 50305605 67074140 100611210 201222420