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1222201000 = 235310112101
BaseRepresentation
bin100100011011001…
…0100111010101000
310011011210020120201
41020312110322220
510000340413000
6321140001544
742200352136
oct11066247250
93134706521
101222201000
1157799a779
122a13902b4
13166298677
14b846c756
157247396a
hex48d94ea8

1222201000 has 64 divisors (see below), whose sum is σ = 2888505360. Its totient is φ = 484000000.

The previous prime is 1222200953. The next prime is 1222201031. The reversal of 1222201000 is 1022221.

It can be written as a sum of positive squares in 8 ways, for example, as 697699396 + 524501604 = 26414^2 + 22902^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94950 + ... + 107050.

Almost surely, 21222201000 is an apocalyptic number.

1222201000 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 1222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444252680).

1222201000 is an abundant number, since it is smaller than the sum of its proper divisors (1666304360).

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

1222201000 is a wasteful number, since it uses less digits than its factorization.

1222201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223 (or 12209 counting only the distinct ones).

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

The square root of 1222201000 is about 34959.9914187632. The cubic root of 1222201000 is about 1069.1719216895.

Adding to 1222201000 its reverse (1022221), we get a palindrome (1223223221).

The spelling of 1222201000 in words is "one billion, two hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12101 12625 20200 24202 25250 48404 50500 60505 96808 101000 121010 242020 302525 484040 605050 1210100 1222201 1512625 2420200 2444402 3025250 4888804 6050500 6111005 9777608 12101000 12222010 24444020 30555025 48888040 61110050 122220100 152775125 244440200 305550250 611100500 1222201000