Search a number
-
+
22220220022120 = 23543591131937713
BaseRepresentation
bin1010000110101100011000…
…10100100011110101101000
32220200020021100010120222101
411003112030110203311220
510403024002311201440
6115131454514303144
74452233523565531
oct503261424436550
986606240116871
1022220220022120
1170975a6a169aa
1225aa516887ab4
13c52485cb96b3
1456b6703c9688
15287eeb51569a
hex14358c523d68

22220220022120 has 128 divisors (see below), whose sum is σ = 52485696489600. Its totient is φ = 8458717446144.

The previous prime is 22220220022097. The next prime is 22220220022177. The reversal of 22220220022120 is 2122002202222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10498384 + ... + 12436096.

It is an arithmetic number, because the mean of its divisors is an integer number (410044503825).

Almost surely, 222220220022120 is an apocalyptic number.

22220220022120 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 22220220022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26242848244800).

22220220022120 is an abundant number, since it is smaller than the sum of its proper divisors (30265476467480).

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

22220220022120 is a wasteful number, since it uses less digits than its factorization.

22220220022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937939 (or 1937935 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22220220022120 its reverse (2122002202222), we get a palindrome (24342222224342).

The spelling of 22220220022120 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 59 86 113 118 172 215 226 236 295 344 430 452 472 565 590 860 904 1130 1180 1720 2260 2360 2537 4520 4859 5074 6667 9718 10148 12685 13334 19436 20296 24295 25370 26668 33335 38872 48590 50740 53336 66670 97180 101480 133340 194360 266680 286681 573362 1146724 1433405 1937713 2293448 2866810 3875426 5733620 7750852 9688565 11467240 15501704 19377130 38754260 77508520 83321659 114325067 166643318 218961569 228650134 333286636 416608295 437923138 457300268 571625335 666573272 833216590 875846276 914600536 1094807845 1143250670 1666433180 1751692552 2189615690 2286501340 3332866360 4379231380 4573002680 4915977881 8758462760 9415347467 9831955762 12918732571 18830694934 19663911524 24579889405 25837465142 37661389868 39327823048 47076737335 49159778810 51674930284 64593662855 75322779736 94153474670 98319557620 103349860568 129187325710 188306949340 196639115240 258374651420 376613898680 516749302840 555505500553 1111011001106 2222022002212 2777527502765 4444044004424 5555055005530 11110110011060 22220220022120