Search a number
-
+
2222410220120 = 235412715000473
BaseRepresentation
bin100000010101110001111…
…110001100001001011000
321212110102120220200011002
4200111301332030021120
5242402444004020440
64420543335524132
7316364253116546
oct40256176141130
97773376820132
102222410220120
117875786a4062
122ba874829648
131317596b490c
14797cadb6d96
153cc23ab2115
hex20571f8c258

2222410220120 has 64 divisors (see below), whose sum is σ = 5141287347840. Its totient is φ = 864081561600.

The previous prime is 2222410220083. The next prime is 2222410220123. The reversal of 2222410220120 is 210220142222.

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 = 2222410220092 and 2222410220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222410220123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055797 + ... + 2944676.

It is an arithmetic number, because the mean of its divisors is an integer number (80332614810).

Almost surely, 22222410220120 is an apocalyptic number.

2222410220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222410220120 is an abundant number, since it is smaller than the sum of its proper divisors (2918877127720).

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

2222410220120 is a wasteful number, since it uses less digits than its factorization.

2222410220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000796 (or 5000792 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2222410220120 its reverse (210220142222), we get a palindrome (2432630362342).

It can be divided in two parts, 22224102 and 20120, that added together give a palindrome (22244222).

The spelling of 2222410220120 in words is "two trillion, two hundred twenty-two billion, four hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 542 820 1084 1355 1640 2168 2710 5420 10840 11111 22222 44444 55555 88888 111110 222220 444440 5000473 10000946 20001892 25002365 40003784 50004730 100009460 200018920 205019393 410038786 820077572 1025096965 1355128183 1640155144 2050193930 2710256366 4100387860 5420512732 6775640915 8200775720 10841025464 13551281830 27102563660 54205127320 55560255503 111120511006 222241022012 277801277515 444482044024 555602555030 1111205110060 2222410220120