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20332222223120 = 2454311801327419
BaseRepresentation
bin1001001111101111101101…
…11000100001001100010000
32122222202000112012001210222
410213313312320201030100
510131110342342114440
6111124254405212212
74165645264230563
oct447676670411420
978882015161728
1020332222223120
1165299354264a5
122344630101068
13b464219ba352
145041289cc4da
15253d4b2ca2b5
hex127df6e21310

20332222223120 has 80 divisors (see below), whose sum is σ = 47408551015680. Its totient is φ = 8109489024000.

The previous prime is 20332222223119. The next prime is 20332222223213. The reversal of 20332222223120 is 2132222223302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×203322222231203 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20332222223120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61934771 + ... + 62262189.

It is an arithmetic number, because the mean of its divisors is an integer number (592606887696).

Almost surely, 220332222223120 is an apocalyptic number.

20332222223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20332222223120 is an abundant number, since it is smaller than the sum of its proper divisors (27076328792560).

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

20332222223120 is a wasteful number, since it uses less digits than its factorization.

20332222223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329664 (or 329658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20332222223120 its reverse (2132222223302), we get a palindrome (22464444446422).

The spelling of 20332222223120 in words is "twenty trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 862 1724 1801 2155 3448 3602 4310 6896 7204 8620 9005 14408 17240 18010 28816 34480 36020 72040 144080 327419 654838 776231 1309676 1552462 1637095 2619352 3104924 3274190 3881155 5238704 6209848 6548380 7762310 12419696 13096760 15524620 26193520 31049240 62098480 141117589 282235178 564470356 589681619 705587945 1128940712 1179363238 1411175890 2257881424 2358726476 2822351780 2948408095 4717452952 5644703560 5896816190 9434905904 11289407120 11793632380 23587264760 47174529520 254152777789 508305555578 1016611111156 1270763888945 2033222222312 2541527777890 4066444444624 5083055555780 10166111111560 20332222223120