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222202201113120 = 25351125014114819
BaseRepresentation
bin110010100001011101111011…
…010001000000001000100000
31002010202022201110000020020210
4302201131323101000020200
5213111030101441104440
62104330140524134120
764542402454055064
oct6241357321001040
91063668643006223
10222202201113120
1164889473802218
1220b08337697340
1396ca768157337
143cc2902c9daa4
151aa4ec8713a80
hexca177b440220

222202201113120 has 96 divisors (see below), whose sum is σ = 699943325215680. Its totient is φ = 59253379200000.

The previous prime is 222202201113119. The next prime is 222202201113127. The reversal of 222202201113120 is 21311102202222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2222022011131202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222202201113127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51943071 + ... + 56057889.

It is an arithmetic number, because the mean of its divisors is an integer number (7291076304330).

Almost surely, 2222202201113120 is an apocalyptic number.

222202201113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222202201113120 is an abundant number, since it is smaller than the sum of its proper divisors (477741124102560).

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

222202201113120 is a wasteful number, since it uses less digits than its factorization.

222202201113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227338 (or 4227330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 222202201113120 its reverse (21311102202222), we get a palindrome (243513303315342).

The spelling of 222202201113120 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 112501 225002 337503 450004 562505 675006 900008 1125010 1350012 1687515 1800016 2250020 2700024 3375030 3600032 4114819 4500040 5400048 6750060 8229638 9000080 10800096 12344457 13500120 16459276 18000160 20574095 24688914 27000240 32918552 41148190 49377828 54000480 61722285 65837104 82296380 98755656 123444570 131674208 164592760 197511312 246889140 329185520 395022624 493778280 658371040 987556560 1975113120 462921252319 925842504638 1388763756957 1851685009276 2314606261595 2777527513914 3703370018552 4629212523190 5555055027828 6943818784785 7406740037104 9258425046380 11110110055656 13887637569570 14813480074208 18516850092760 22220220111312 27775275139140 37033700185520 44440440222624 55550550278280 74067400371040 111101100556560 222202201113120