Search a number
-
+
22222011022020 = 22335145512828113
BaseRepresentation
bin1010000110101111101110…
…00100101011101011000100
32220200101220011012210222000
411003113313010223223010
510403041134310201040
6115132352333505300
74452326102046555
oct503276704535304
986611804183860
1022222011022020
117098335993707
1225aa936642230
13c526b0078054
1456b7a01dc32c
152880a3892130
hex1435f712bac4

22222011022020 has 96 divisors (see below), whose sum is σ = 69139921079040. Its totient is φ = 5925460262400.

The previous prime is 22222011021983. The next prime is 22222011022027. The reversal of 22222011022020 is 2022011022222.

22222011022020 is a `hidden beast` number, since 2 + 222 + 201 + 1 + 0 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22222011021984 and 22222011022002.

It is not an unprimeable number, because it can be changed into a prime (22222011022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6443484 + ... + 9271596.

It is an arithmetic number, because the mean of its divisors is an integer number (720207511240).

Almost surely, 222222011022020 is an apocalyptic number.

22222011022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222011022020 is an abundant number, since it is smaller than the sum of its proper divisors (46917910057020).

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

22222011022020 is a wasteful number, since it uses less digits than its factorization.

22222011022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842682 (or 2842674 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222011022020 its reverse (2022011022222), we get a palindrome (24244022044242).

The spelling of 22222011022020 in words is "twenty-two trillion, two hundred twenty-two billion, eleven million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 14551 29102 43653 58204 72755 87306 130959 145510 174612 218265 261918 291020 392877 436530 523836 654795 785754 873060 1309590 1571508 1964385 2619180 2828113 3928770 5656226 7857540 8484339 11312452 14140565 16968678 25453017 28281130 33937356 42421695 50906034 56562260 76359051 84843390 101812068 127265085 152718102 169686780 254530170 305436204 381795255 509060340 763590510 1527181020 41151872263 82303744526 123455616789 164607489052 205759361315 246911233578 370366850367 411518722630 493822467156 617278083945 740733700734 823037445260 1111100551101 1234556167890 1481467401468 1851834251835 2222201102202 2469112335780 3703668503670 4444402204404 5555502755505 7407337007340 11111005511010 22222011022020