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212222021000 = 23531121753901
BaseRepresentation
bin1100010110100101101…
…0110000110110001000
3202021210010011200101212
43011221122300312020
511434112314133000
6241254330232252
721222026262203
oct3055132606610
9667703150355
10212222021000
1182003886500
1235168885688
131702147b272
14a3b33b493a
1557c144dc35
hex31696b0d88

212222021000 has 96 divisors (see below), whose sum is σ = 545849380440. Its totient is φ = 77171600000.

The previous prime is 212222020987. The next prime is 212222021051. The reversal of 212222021000 is 120222212.

It can be written as a sum of positive squares in 4 ways, for example, as 12436264324 + 199785756676 = 111518^2 + 446974^2 .

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, 755951 + ... + 997950.

Almost surely, 2212222021000 is an apocalyptic number.

212222021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222021000 is an abundant number, since it is smaller than the sum of its proper divisors (333627359440).

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

212222021000 is a wasteful number, since it uses less digits than its factorization.

212222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753944 (or 1753919 counting only the distinct ones).

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

Adding to 212222021000 its reverse (120222212), we get a palindrome (212342243212).

The spelling of 212222021000 in words is "two hundred twelve billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 1753901 3507802 7015604 8769505 14031208 17539010 19292911 35078020 38585822 43847525 70156040 77171644 87695050 96464555 154343288 175390100 192929110 212222021 219237625 350780200 385858220 424444042 438475250 482322775 771716440 848888084 876950500 964645550 1061110105 1697776168 1753901000 1929291100 2122220210 2411613875 3858582200 4244440420 4823227750 5305550525 8488880840 9646455500 10611101050 19292911000 21222202100 26527752625 42444404200 53055505250 106111010500 212222021000