Search a number
-
+
1220012020 = 225298325343
BaseRepresentation
bin100100010110111…
…1110011111110100
310011000200000212101
41020231332133310
54444310341040
6321021031444
742142634233
oct11055763764
93130600771
101220012020
115767350a7
122a06b5584
131659b0206
14b805cb1a
157219009a
hex48b7e7f4

1220012020 has 48 divisors (see below), whose sum is σ = 2682408960. Its totient is φ = 465481856.

The previous prime is 1220012011. The next prime is 1220012029. The reversal of 1220012020 is 202100221.

It is an interprime number because it is at equal distance from previous prime (1220012011) and next prime (1220012029).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1220011988 and 1220012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220012029) by changing a digit.

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, 35469 + ... + 60811.

It is an arithmetic number, because the mean of its divisors is an integer number (55883520).

Almost surely, 21220012020 is an apocalyptic number.

1220012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

1220012020 is an abundant number, since it is smaller than the sum of its proper divisors (1462396940).

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

1220012020 is a wasteful number, since it uses less digits than its factorization.

1220012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25464 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1220012020 is about 34928.6704585216. The cubic root of 1220012020 is about 1068.5332393525.

Adding to 1220012020 its reverse (202100221), we get a palindrome (1422112241).

The spelling of 1220012020 in words is "one billion, two hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 1660 2407 4814 9628 12035 24070 25343 48140 50686 101372 126715 253430 506860 734947 1469894 2103469 2939788 3674735 4206938 7349470 8413876 10517345 14698940 21034690 42069380 61000601 122001202 244002404 305003005 610006010 1220012020