Search a number
-
+
222460406040 = 23359112034947
BaseRepresentation
bin1100111100101110101…
…1000110100100011000
3210021012122111112022210
43033023223012210120
512121044330443130
6250110310315120
722033530152235
oct3171353064430
9707178445283
10222460406040
1186388110744
1237145658aa0
1317c93672472
14aaa506c78c
155bc01e95b0
hex33cbac6918

222460406040 has 64 divisors (see below), whose sum is σ = 668114127360. Its totient is φ = 59257627520.

The previous prime is 222460406027. The next prime is 222460406099. The reversal of 222460406040 is 40604064222.

222460406040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222460405989 and 222460406007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908154 + ... + 1126793.

It is an arithmetic number, because the mean of its divisors is an integer number (10439283240).

Almost surely, 2222460406040 is an apocalyptic number.

222460406040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222460406040 is an abundant number, since it is smaller than the sum of its proper divisors (445653721320).

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

222460406040 is a wasteful number, since it uses less digits than its factorization.

222460406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035872 (or 2035868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 222460406040 in words is "two hundred twenty-two billion, four hundred sixty million, four hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 911 1822 2733 3644 4555 5466 7288 9110 10932 13665 18220 21864 27330 36440 54660 109320 2034947 4069894 6104841 8139788 10174735 12209682 16279576 20349470 24419364 30524205 40698940 48838728 61048410 81397880 122096820 244193640 1853836717 3707673434 5561510151 7415346868 9269183585 11123020302 14830693736 18538367170 22246040604 27807550755 37076734340 44492081208 55615101510 74153468680 111230203020 222460406040