Search a number
-
+
1222033100 = 2252176710729
BaseRepresentation
bin100100011010110…
…1011111011001100
310011011110201021012
41020311223323030
510000320024400
6321132224352
742166052501
oct11065537314
93134421235
101222033100
11577895612
122a130b0b8
1316623a112
14b84274a8
157243dd35
hex48d6becc

1222033100 has 72 divisors (see below), whose sum is σ = 2849973840. Its totient is φ = 453150720.

The previous prime is 1222033061. The next prime is 1222033129. The reversal of 1222033100 is 13302221.

It is a happy number.

It is a super-2 number, since 2×12220331002 = 2986729794991220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108536 + ... + 119264.

It is an arithmetic number, because the mean of its divisors is an integer number (39582970).

Almost surely, 21222033100 is an apocalyptic number.

1222033100 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 1222033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424986920).

1222033100 is an abundant number, since it is smaller than the sum of its proper divisors (1627940740).

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

1222033100 is a wasteful number, since it uses less digits than its factorization.

1222033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1222033100 is about 34957.5900199084. The cubic root of 1222033100 is about 1069.1229602430.

Adding to 1222033100 its reverse (13302221), we get a palindrome (1235335321).

The spelling of 1222033100 in words is "one billion, two hundred twenty-two million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 85 100 134 170 268 335 340 425 670 850 1139 1340 1675 1700 2278 3350 4556 5695 6700 10729 11390 21458 22780 28475 42916 53645 56950 107290 113900 182393 214580 268225 364786 536450 718843 729572 911965 1072900 1437686 1823930 2875372 3594215 3647860 4559825 7188430 9119650 12220331 14376860 17971075 18239300 24440662 35942150 48881324 61101655 71884300 122203310 244406620 305508275 611016550 1222033100