Search a number
-
+
222002232120 = 233251013608759
BaseRepresentation
bin1100111011000001011…
…1010011101100111000
3210020000201100212212100
43032300113103230320
512114130032411440
6245553022143400
722016264560224
oct3166027235470
9706021325770
10222002232120
1186172521909
1237038121b60
1317c1c773136
14aa60283784
155b94d94230
hex33b05d3b38

222002232120 has 96 divisors (see below), whose sum is σ = 722220688800. Its totient is φ = 59142057216.

The previous prime is 222002232119. The next prime is 222002232121. The reversal of 222002232120 is 21232200222.

It is an interprime number because it is at equal distance from previous prime (222002232119) and next prime (222002232121).

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 = 222002232093 and 222002232102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222002232121) 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, 60301 + ... + 669059.

It is an arithmetic number, because the mean of its divisors is an integer number (7523132175).

Almost surely, 2222002232120 is an apocalyptic number.

222002232120 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 222002232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361110344400).

222002232120 is an abundant number, since it is smaller than the sum of its proper divisors (500218456680).

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

222002232120 is a wasteful number, since it uses less digits than its factorization.

222002232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609789 (or 609782 counting only the distinct ones).

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

Adding to 222002232120 its reverse (21232200222), we get a palindrome (243234432342).

The spelling of 222002232120 in words is "two hundred twenty-two billion, two million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1013 2026 3039 4052 5065 6078 8104 9117 10130 12156 15195 18234 20260 24312 30390 36468 40520 45585 60780 72936 91170 121560 182340 364680 608759 1217518 1826277 2435036 3043795 3652554 4870072 5478831 6087590 7305108 9131385 10957662 12175180 14610216 18262770 21915324 24350360 27394155 36525540 43830648 54788310 73051080 109576620 219153240 616672867 1233345734 1850018601 2466691468 3083364335 3700037202 4933382936 5550055803 6166728670 7400074404 9250093005 11100111606 12333457340 14800148808 18500186010 22200223212 24666914680 27750279015 37000372020 44400446424 55500558030 74000744040 111001116060 222002232120