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222020201120 = 2551272227379
BaseRepresentation
bin1100111011000101101…
…1110110101010100000
3210020001222011210200212
43032301123312222200
512114144132413440
6245554503233252
722016603400044
oct3166133665240
9706058153625
10222020201120
1186181685223
1237042148828
1317c233c4c93
14aa62800024
155b96743465
hex33b16f6aa0

222020201120 has 144 divisors (see below), whose sum is σ = 532415449440. Its totient is φ = 87489206784.

The previous prime is 222020201077. The next prime is 222020201153. The reversal of 222020201120 is 21102020222.

It is a junction number, because it is equal to n+sod(n) for n = 222020201095 and 222020201104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585805091 + ... + 585805469.

It is an arithmetic number, because the mean of its divisors is an integer number (3697329510).

Almost surely, 2222020201120 is an apocalyptic number.

222020201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266207724720).

222020201120 is an abundant number, since it is smaller than the sum of its proper divisors (310395248320).

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

222020201120 is a wasteful number, since it uses less digits than its factorization.

222020201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 740 counting only the distinct ones).

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

Adding to 222020201120 its reverse (21102020222), we get a palindrome (243122221342).

The spelling of 222020201120 in words is "two hundred twenty-two billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 227 254 379 454 508 635 758 908 1016 1135 1270 1516 1816 1895 2032 2270 2540 3032 3632 3790 4064 4540 5080 6064 7264 7580 9080 10160 12128 15160 16129 18160 20320 28829 30320 32258 36320 48133 57658 60640 64516 80645 86033 96266 115316 129032 144145 161290 172066 192532 230632 240665 258064 288290 322580 344132 385064 430165 461264 481330 516128 576580 645160 688264 770128 860330 922528 962660 1153160 1290320 1376528 1540256 1720660 1925320 2306320 2580640 2753056 3441320 3661283 3850640 4612640 6112891 6882640 7322566 7701280 10926191 12225782 13765280 14645132 18306415 21852382 24451564 29290264 30564455 36612830 43704764 48903128 54630955 58580528 61128910 73225660 87409528 97806256 109261910 117161056 122257820 146451320 174819056 195612512 218523820 244515640 292902640 349638112 437047640 489031280 585805280 874095280 978062560 1387626257 1748190560 2775252514 5550505028 6938131285 11101010056 13876262570 22202020112 27752525140 44404040224 55505050280 111010100560 222020201120