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22033120320 = 263257650389
BaseRepresentation
bin10100100001010001…
…101011110001000000
32002212112012111000100
4110201101223301000
5330110434322240
614042154122400
71410000301251
oct244121536100
962775174010
1022033120320
119387138452
12432aa20400
13210197a303
1410d0322b28
1588e4c1e30
hex52146bc40

22033120320 has 84 divisors (see below), whose sum is σ = 75784763340. Its totient is φ = 5875497984.

The previous prime is 22033120231. The next prime is 22033120331. The reversal of 22033120320 is 2302133022.

It is a happy number.

22033120320 is a `hidden beast` number, since 220 + 3 + 3 + 120 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9701462016 + 12331658304 = 98496^2 + 111048^2 .

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 = 22033120293 and 22033120302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3822315 + ... + 3828074.

Almost surely, 222033120320 is an apocalyptic number.

22033120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22033120320 is an abundant number, since it is smaller than the sum of its proper divisors (53751643020).

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

22033120320 is a wasteful number, since it uses less digits than its factorization.

22033120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650412 (or 7650399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22033120320 its reverse (2302133022), we get a palindrome (24335253342).

The spelling of 22033120320 in words is "twenty-two billion, thirty-three million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7650389 15300778 22951167 30601556 38251945 45902334 61203112 68853501 76503890 91804668 114755835 122406224 137707002 153007780 183609336 229511670 244812448 275414004 306015560 344267505 367218672 459023340 489624896 550828008 612031120 688535010 734437344 918046680 1101656016 1224062240 1377070020 1468874688 1836093360 2203312032 2448124480 2754140040 3672186720 4406624064 5508280080 7344373440 11016560160 22033120320