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221020220120 = 23573125463159
BaseRepresentation
bin1100110111010111010…
…1001110101011011000
3210010111021112111122112
43031311311032223120
512110122134020440
6245311342211452
721653041605410
oct3156565165330
9703437474575
10221020220120
1185809174747
1236a03283b88
1317ac419364b
14a9a9a99640
155b38a67965
hex3375d4ead8

221020220120 has 64 divisors (see below), whose sum is σ = 586671206400. Its totient is φ = 73333895040.

The previous prime is 221020220093. The next prime is 221020220153. The reversal of 221020220120 is 21022020122.

It is a super-3 number, since 3×2210202201203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221020220095 and 221020220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12722900 + ... + 12740259.

It is an arithmetic number, because the mean of its divisors is an integer number (9166737600).

Almost surely, 2221020220120 is an apocalyptic number.

221020220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020220120 is an abundant number, since it is smaller than the sum of its proper divisors (365650986280).

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

221020220120 is a wasteful number, since it uses less digits than its factorization.

221020220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25463208 (or 25463204 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221020220120 its reverse (21022020122), we get a palindrome (242042240242).

It can be divided in two parts, 2210202 and 20120, that added together give a palindrome (2230322).

The spelling of 221020220120 in words is "two hundred twenty-one billion, twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 25463159 50926318 101852636 127315795 178242113 203705272 254631590 356484226 509263180 712968452 789357929 891210565 1018526360 1425936904 1578715858 1782421130 3157431716 3564842260 3946789645 5525505503 6314863432 7129684520 7893579290 11051011006 15787158580 22102022012 27627527515 31574317160 44204044024 55255055030 110510110060 221020220120