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22020213204900 = 2232521564192
BaseRepresentation
bin1010000000110111110101…
…11111000110011110100100
32212222010000112000120000100
411000123322333012132210
510341234344040024100
6114455540222144100
74431623260646331
oct500337277063644
985863015016010
1022020213204900
11701a7a1319939
1225777b8a22030
13c39660451581
14561ad9451988
15282be2696400
hex1406fafc67a4

22020213204900 has 81 divisors (see below), whose sum is σ = 69021576206401. Its totient is φ = 5872019314080.

The previous prime is 22020213204883. The next prime is 22020213204923. The reversal of 22020213204900 is 940231202022.

The square root of 22020213204900 is 4692570.

It is a perfect power (a square), and thus also a powerful number.

22020213204900 is a `hidden beast` number, since 2 + 20 + 20 + 2 + 132 + 0 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7927276753764 + 14092936451136 = 2815542^2 + 3754056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140698891 + ... + 140855309.

Almost surely, 222020213204900 is an apocalyptic number.

22020213204900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22020213204900 is the 4692570-th square number.

It is an amenable number.

22020213204900 is an abundant number, since it is smaller than the sum of its proper divisors (47001363001501).

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

22020213204900 is an frugal number, since it uses more digits than its factorization.

22020213204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312858 (or 156429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22020213204900 its reverse (940231202022), we get a palindrome (22960444406922).

The spelling of 22020213204900 in words is "twenty-two trillion, twenty billion, two hundred thirteen million, two hundred four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 156419 312838 469257 625676 782095 938514 1407771 1564190 1877028 2346285 2815542 3128380 3910475 4692570 5631084 7038855 7820950 9385140 11731425 14077710 15641900 23462850 28155420 35194275 46925700 70388550 140777100 24466903561 48933807122 73400710683 97867614244 122334517805 146801421366 220202132049 244669035610 293602842732 367003553415 440404264098 489338071220 611672589025 734007106830 880808528196 1101010660245 1223345178050 1468014213660 1835017767075 2202021320490 2446690356100 3670035534150 4404042640980 5505053301225 7340071068300 11010106602450 22020213204900