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222141420 = 223351014073
BaseRepresentation
bin11010011110110…
…01101111101100
3120110222221202000
431033121233230
5423332011140
634013132300
75335112424
oct1517315754
9513887660
10222141420
11104436156
126248a090
133703a337
1421707484
151477ea30
hexd3d9bec

222141420 has 96 divisors (see below), whose sum is σ = 698120640. Its totient is φ = 58636800.

The previous prime is 222141379. The next prime is 222141427. The reversal of 222141420 is 24141222.

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 = 222141393 and 222141402.

It is not an unprimeable number, because it can be changed into a prime (222141427) 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, 52504 + ... + 56576.

It is an arithmetic number, because the mean of its divisors is an integer number (7272090).

Almost surely, 2222141420 is an apocalyptic number.

222141420 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 222141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349060320).

222141420 is an abundant number, since it is smaller than the sum of its proper divisors (475979220).

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

222141420 is a wasteful number, since it uses less digits than its factorization.

222141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222141420 is about 14904.4094146665. The cubic root of 222141420 is about 605.6334416866.

Adding to 222141420 its reverse (24141222), we get a palindrome (246282642).

The spelling of 222141420 in words is "two hundred twenty-two million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4073 4545 5454 6060 8146 9090 10908 12219 13635 16292 18180 20365 24438 27270 36657 40730 48876 54540 61095 73314 81460 109971 122190 146628 183285 219942 244380 366570 411373 439884 549855 733140 822746 1099710 1234119 1645492 2056865 2199420 2468238 3702357 4113730 4936476 6170595 7404714 8227460 11107071 12341190 14809428 18511785 22214142 24682380 37023570 44428284 55535355 74047140 111070710 222141420