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221230230120 = 233251466941893
BaseRepresentation
bin1100111000001001011…
…0010110101001101000
3210011000220201010012200
43032002112112221220
512111034414330440
6245344243340200
721661201633434
oct3160226265150
9704026633180
10221230230120
1185906774329
1236a61681660
1317b28843c13
14a9c99259c4
155b4c1ecc30
hex3382596a68

221230230120 has 96 divisors (see below), whose sum is σ = 719064426600. Its totient is φ = 58989298176.

The previous prime is 221230230119. The next prime is 221230230191. The reversal of 221230230120 is 21032032122.

221230230120 is a `hidden beast` number, since 2 + 212 + 302 + 30 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215661787236 + 5568442884 = 464394^2 + 74622^2 .

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 = 221230230093 and 221230230102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5259894 + ... + 5301786.

Almost surely, 2221230230120 is an apocalyptic number.

221230230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230230120 is an abundant number, since it is smaller than the sum of its proper divisors (497834196480).

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

221230230120 is a wasteful number, since it uses less digits than its factorization.

221230230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56579 (or 56572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221230230120 its reverse (21032032122), we get a palindrome (242262262242).

It can be divided in two parts, 2212302 and 30120, that added together give a palindrome (2242422).

The spelling of 221230230120 in words is "two hundred twenty-one billion, two hundred thirty million, two hundred thirty 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 14669 29338 41893 44007 58676 73345 83786 88014 117352 125679 132021 146690 167572 176028 209465 220035 251358 264042 293380 335144 352056 377037 418930 440070 502716 528084 586760 628395 660105 754074 837860 880140 1005432 1056168 1256790 1320210 1508148 1675720 1760280 1885185 2513580 2640420 3016296 3770370 5027160 5280840 7540740 15081480 614528417 1229056834 1843585251 2458113668 3072642085 3687170502 4916227336 5530755753 6145284170 7374341004 9217926255 11061511506 12290568340 14748682008 18435852510 22123023012 24581136680 27653778765 36871705020 44246046024 55307557530 73743410040 110615115060 221230230120