Search a number
-
+
1222010100 = 2232523736697
BaseRepresentation
bin100100011010110…
…0110010011110100
310011011102112201100
41020311212103310
510000313310400
6321131530100
742165625443
oct11065462364
93134375640
101222010100
1157787a303
122a12b9930
1316622c7cc
14b841cd5a
1572437100
hex48d664f4

1222010100 has 108 divisors (see below), whose sum is σ = 3933952204. Its totient is φ = 317053440.

The previous prime is 1222010093. The next prime is 1222010147. The reversal of 1222010100 is 10102221.

It can be written as a sum of positive squares in 6 ways, for example, as 5116644 + 1216893456 = 2262^2 + 34884^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 14952 + ... + 51648.

Almost surely, 21222010100 is an apocalyptic number.

1222010100 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 1222010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966976102).

1222010100 is an abundant number, since it is smaller than the sum of its proper divisors (2711942104).

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

1222010100 is a wasteful number, since it uses less digits than its factorization.

1222010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36754 (or 36744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1222010100 is about 34957.2610483144. The cubic root of 1222010100 is about 1069.1162528463.

Adding to 1222010100 its reverse (10102221), we get a palindrome (1232112321).

The spelling of 1222010100 in words is "one billion, two hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 36697 73394 110091 146788 183485 220182 330273 366970 440364 550455 660546 733940 917425 1100910 1321092 1357789 1651365 1834850 2201820 2715578 2752275 3302730 3669700 4073367 5431156 5504550 6605460 6788945 8146734 8256825 11009100 12220101 13577890 16293468 16513650 20366835 24440202 27155780 33027300 33944725 40733670 48880404 61100505 67889450 81467340 101834175 122201010 135778900 203668350 244402020 305502525 407336700 611005050 1222010100