Search a number
-
+
10222432220 = 22571113510611
BaseRepresentation
bin10011000010100110…
…11110111111011100
3222101102022100202202
421201103132333130
5131413420312340
64410210111032
7511215145250
oct114123367734
928342270682
1010222432220
1143763296a0
121b9357b478
13c6bac9c80
146cd904260
153ec698c15
hex2614defdc

10222432220 has 96 divisors (see below), whose sum is σ = 28823026176. Its totient is φ = 2941113600.

The previous prime is 10222432219. The next prime is 10222432229. The reversal of 10222432220 is 2223422201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10222432192 and 10222432201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222432229) 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, 235286 + ... + 275325.

It is an arithmetic number, because the mean of its divisors is an integer number (300239856).

Almost surely, 210222432220 is an apocalyptic number.

10222432220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222432220 is an abundant number, since it is smaller than the sum of its proper divisors (18600593956).

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

10222432220 is a wasteful number, since it uses less digits than its factorization.

10222432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510651 (or 510649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10222432220 its reverse (2223422201), we get a palindrome (12445854421).

The spelling of 10222432220 in words is "ten billion, two hundred twenty-two million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 510611 1021222 2042444 2553055 3574277 5106110 5616721 6637943 7148554 10212220 11233442 13275886 14297108 17871385 22466884 26551772 28083605 33189715 35742770 39317047 46465601 56167210 66379430 71485540 73017373 78634094 92931202 112334420 132758860 146034746 157268188 185862404 196585235 232328005 292069492 365086865 393170470 464656010 511121611 730173730 786340940 929312020 1022243222 1460347460 2044486444 2555608055 5111216110 10222432220