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221422124 = 2271119157241
BaseRepresentation
bin11010011001010…
…10001000101100
3120102122102001102
431030222020230
5423141001444
633545502232
75326025360
oct1514521054
9512572042
10221422124
11103a947a0
12621a1978
1336b47b11
142159b2a0
151468b84e
hexd32a22c

221422124 has 96 divisors (see below), whose sum is σ = 513891840. Its totient is φ = 80870400.

The previous prime is 221422111. The next prime is 221422129. The reversal of 221422124 is 421224122.

221422124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221422096 and 221422105.

It is not an unprimeable number, because it can be changed into a prime (221422129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918644 + ... + 918884.

It is an arithmetic number, because the mean of its divisors is an integer number (5353040).

Almost surely, 2221422124 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 221422124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256945920).

221422124 is an abundant number, since it is smaller than the sum of its proper divisors (292469716).

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

221422124 is a wasteful number, since it uses less digits than its factorization.

221422124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 221422124 is about 14880.2595407473. The cubic root of 221422124 is about 604.9790526181.

Adding to 221422124 its reverse (421224122), we get a palindrome (642646246).

The spelling of 221422124 in words is "two hundred twenty-one million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 157 209 241 266 308 314 418 482 532 628 836 964 1099 1463 1687 1727 2198 2651 2926 2983 3374 3454 4396 4579 5302 5852 5966 6748 6908 9158 10604 11932 12089 18316 18557 20881 24178 32053 32813 37114 37837 41762 48356 50369 64106 65626 74228 75674 83524 100738 128212 131252 151348 201476 229691 264859 352583 416207 459382 529718 705166 718903 832414 918764 1059436 1410332 1437806 1664828 2875612 2913449 5032321 5826898 7907933 10064642 11653796 15815866 20129284 31631732 55355531 110711062 221422124