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122216420 = 22533718133
BaseRepresentation
bin1110100100011…
…01111111100100
322111222020102002
413102031333210
5222241411140
620043304432
73012552044
oct722157744
9274866362
10122216420
1162a96007
1234b1b118
131c421a11
1412335724
15aae2415
hex748dfe4

122216420 has 24 divisors (see below), whose sum is σ = 257430264. Its totient is φ = 48738816.

The previous prime is 122216407. The next prime is 122216431. The reversal of 122216420 is 24612221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 119202724 = 1736^2 + 10918^2 .

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 = 122216392 and 122216401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327 + ... + 15806.

It is an arithmetic number, because the mean of its divisors is an integer number (10726261).

Almost surely, 2122216420 is an apocalyptic number.

122216420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122216420 is an abundant number, since it is smaller than the sum of its proper divisors (135213844).

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

122216420 is a wasteful number, since it uses less digits than its factorization.

122216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122216420 is about 11055.1535493633. The cubic root of 122216420 is about 496.2606644537.

Adding to 122216420 its reverse (24612221), we get a palindrome (146828641).

The spelling of 122216420 in words is "one hundred twenty-two million, two hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 18133 36266 72532 90665 181330 362660 6110821 12221642 24443284 30554105 61108210 122216420