Search a number
-
+
1220432220 = 2232572138371
BaseRepresentation
bin100100010111110…
…0101000101011100
310011001110101021100
41020233211011130
54444412312340
6321034033100
742146334300
oct11057450534
93131411240
101220432220
115769a1877
122a0878790
13165ac9557
14b812bd00
1572224830
hex48be515c

1220432220 has 108 divisors (see below), whose sum is σ = 4306413384. Its totient is φ = 278953920.

The previous prime is 1220432209. The next prime is 1220432231. The reversal of 1220432220 is 222340221.

1220432220 is a `hidden beast` number, since 12 + 2 + 0 + 432 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1220432209) and next prime (1220432231).

It is a super-3 number, since 3×12204322203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220432193 and 1220432202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60366 + ... + 78005.

It is an arithmetic number, because the mean of its divisors is an integer number (39874198).

Almost surely, 21220432220 is an apocalyptic number.

1220432220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220432220 is an abundant number, since it is smaller than the sum of its proper divisors (3085981164).

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

1220432220 is a wasteful number, since it uses less digits than its factorization.

1220432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138400 (or 138388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1220432220 is about 34934.6850565452. The cubic root of 1220432220 is about 1068.6559010206.

Adding to 1220432220 its reverse (222340221), we get a palindrome (1442772441).

The spelling of 1220432220 in words is "one billion, two hundred twenty million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 138371 276742 415113 553484 691855 830226 968597 1245339 1383710 1660452 1937194 2075565 2490678 2767420 2905791 3874388 4151130 4842985 4981356 5811582 6226695 6780179 8302260 8717373 9685970 11623164 12453390 13560358 14528955 17434746 19371940 20340537 24906780 27120716 29057910 33900895 34869492 40681074 43586865 58115820 61021611 67801790 81362148 87173730 101702685 122043222 135603580 174347460 203405370 244086444 305108055 406810740 610216110 1220432220