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22200221011120 = 2452836731457021
BaseRepresentation
bin1010000110000111001000…
…10010011000110010110000
32220121022122120110120101021
411003003210102120302300
510402212023034323440
6115114350222145224
74450625113031155
oct503034422306260
986538576416337
1022200221011120
11708a074002a39
1225a6675122214
13c50619899c89
1456a6d42c022c
1528772a8e284a
hex1430e4498cb0

22200221011120 has 80 divisors (see below), whose sum is σ = 51874902106272. Its totient is φ = 8835555778560.

The previous prime is 22200221011117. The next prime is 22200221011121. The reversal of 22200221011120 is 2111012200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22200221011094 and 22200221011103.

It is not an unprimeable number, because it can be changed into a prime (22200221011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14508210 + ... + 15965230.

Almost surely, 222200221011120 is an apocalyptic number.

22200221011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200221011120 is an abundant number, since it is smaller than the sum of its proper divisors (29674681095152).

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

22200221011120 is a wasteful number, since it uses less digits than its factorization.

22200221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457990 (or 1457984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22200221011120 its reverse (2111012200222), we get a palindrome (24311233211342).

The spelling of 22200221011120 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 673 1132 1346 1415 2264 2692 2830 3365 4528 5384 5660 6730 10768 11320 13460 22640 26920 53840 190459 380918 761836 952295 1457021 1523672 1904590 2914042 3047344 3809180 5828084 7285105 7618360 11656168 14570210 15236720 23312336 29140420 58280840 116561680 412336943 824673886 980575133 1649347772 1961150266 2061684715 3298695544 3922300532 4123369430 4902875665 6597391088 7844601064 8246738860 9805751330 15689202128 16493477720 19611502660 32986955440 39223005320 78446010640 277502762639 555005525278 1110011050556 1387513813195 2220022101112 2775027626390 4440044202224 5550055252780 11100110505560 22200221011120