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215022420 = 223254192851
BaseRepresentation
bin11001101000011…
…11101101010100
3112222121021022100
430310033231110
5420021204140
633200402100
75220442344
oct1464175524
9488537270
10215022420
11100413588
1260016330
1335716c02
14207b2d24
1513d25530
hexcd0fb54

215022420 has 72 divisors (see below), whose sum is σ = 654020640. Its totient is φ = 57182400.

The previous prime is 215022407. The next prime is 215022427. The reversal of 215022420 is 24220512.

It is a super-2 number, since 2×2150224202 = 92469282205312800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 215022393 and 215022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215022427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73995 + ... + 76845.

It is an arithmetic number, because the mean of its divisors is an integer number (9083620).

Almost surely, 2215022420 is an apocalyptic number.

215022420 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 215022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327010320).

215022420 is an abundant number, since it is smaller than the sum of its proper divisors (438998220).

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

215022420 is a wasteful number, since it uses less digits than its factorization.

215022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 215022420 is about 14663.6427943400. The cubic root of 215022420 is about 599.0934643450.

Adding to 215022420 its reverse (24220512), we get a palindrome (239242932).

The spelling of 215022420 in words is "two hundred fifteen million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 2851 3771 4190 5028 5702 6285 7542 8380 8553 11404 12570 14255 15084 17106 18855 25140 25659 28510 34212 37710 42765 51318 57020 75420 85530 102636 128295 171060 256590 513180 1194569 2389138 3583707 4778276 5972845 7167414 10751121 11945690 14334828 17918535 21502242 23891380 35837070 43004484 53755605 71674140 107511210 215022420