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420122232 = 2332231072371
BaseRepresentation
bin11001000010101…
…000111001111000
31002021112102100200
4121002220321320
51330022402412
6105404402200
713260660105
oct3102507170
91067472320
10420122232
111a616a062
12b8846360
136906854a
143db21aac
1526d3a9dc
hex190a8e78

420122232 has 96 divisors (see below), whose sum is σ = 1198903680. Its totient is φ = 132644160.

The previous prime is 420122221. The next prime is 420122267. The reversal of 420122232 is 232221024.

420122232 is a `hidden beast` number, since 420 + 12 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176007 + ... + 178377.

It is an arithmetic number, because the mean of its divisors is an integer number (12488580).

Almost surely, 2420122232 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 420122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599451840).

420122232 is an abundant number, since it is smaller than the sum of its proper divisors (778781448).

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

420122232 is a wasteful number, since it uses less digits than its factorization.

420122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420122232 is about 20496.8834704206. The cubic root of 420122232 is about 748.9598808697.

Adding to 420122232 its reverse (232221024), we get a palindrome (652343256).

It can be divided in two parts, 42012 and 2232, that added together give a palindrome (44244).

The spelling of 420122232 in words is "four hundred twenty million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 107 138 184 207 214 276 321 414 428 552 642 828 856 963 1284 1656 1926 2371 2461 2568 3852 4742 4922 7113 7383 7704 9484 9844 14226 14766 18968 19688 21339 22149 28452 29532 42678 44298 54533 56904 59064 85356 88596 109066 163599 170712 177192 218132 253697 327198 436264 490797 507394 654396 761091 981594 1014788 1308792 1522182 1963188 2029576 2283273 3044364 3926376 4566546 5835031 6088728 9133092 11670062 17505093 18266184 23340124 35010186 46680248 52515279 70020372 105030558 140040744 210061116 420122232