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2220123020 = 2251947197631
BaseRepresentation
bin1000010001010100…
…0110001110001100
312201201112221020112
42010111012032030
514021322414040
61004144535152
7106005506603
oct20425061614
95651487215
102220123020
11a3a224315
1251b6214b8
13294c58a7b
14170bd8a3a
15ced94365
hex8454638c

2220123020 has 96 divisors (see below), whose sum is σ = 5045483520. Its totient is φ = 817931520.

The previous prime is 2220123011. The next prime is 2220123023. The reversal of 2220123020 is 203210222.

It is a junction number, because it is equal to n+sod(n) for n = 2220122986 and 2220123004.

It is not an unprimeable number, because it can be changed into a prime (2220123023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3518105 + ... + 3518735.

It is an arithmetic number, because the mean of its divisors is an integer number (52557120).

Almost surely, 22220123020 is an apocalyptic number.

2220123020 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 2220123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522741760).

2220123020 is an abundant number, since it is smaller than the sum of its proper divisors (2825360500).

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

2220123020 is a wasteful number, since it uses less digits than its factorization.

2220123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2220123020 is about 47118.1814165190. The cubic root of 2220123020 is about 1304.5448459932.

Adding to 2220123020 its reverse (203210222), we get a palindrome (2423333242).

The spelling of 2220123020 in words is "two billion, two hundred twenty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 197 235 380 394 470 631 788 893 940 985 1262 1786 1970 2524 3155 3572 3743 3940 4465 6310 7486 8930 9259 11989 12620 14972 17860 18518 18715 23978 29657 37036 37430 46295 47956 59314 59945 74860 92590 118628 119890 124307 148285 175921 185180 239780 248614 296570 351842 497228 563483 593140 621535 703684 879605 1126966 1243070 1759210 2253932 2361833 2486140 2817415 3518420 4723666 5634830 5842429 9447332 11269660 11684858 11809165 23369716 23618330 29212145 47236660 58424290 111006151 116848580 222012302 444024604 555030755 1110061510 2220123020