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1222022100 = 2235213224103
BaseRepresentation
bin100100011010110…
…1001001111010100
310011011110011011210
41020311221033110
510000314201400
6321132101420
742166005435
oct11065511724
93134404153
101222022100
11577888322
122a1304870
13166235100
14b842348c
157243a950
hex48d693d4

1222022100 has 108 divisors (see below), whose sum is σ = 3828775776. Its totient is φ = 300792960.

The previous prime is 1222022063. The next prime is 1222022119. The reversal of 1222022100 is 12202221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 38649 + ... + 62751.

Almost surely, 21222022100 is an apocalyptic number.

1222022100 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 1222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914387888).

1222022100 is an abundant number, since it is smaller than the sum of its proper divisors (2606753676).

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

1222022100 is a wasteful number, since it uses less digits than its factorization.

1222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24146 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1222022100 is about 34957.4326860540. The cubic root of 1222022100 is about 1069.1197523681.

Adding to 1222022100 its reverse (12202221), we get a palindrome (1234224321).

The spelling of 1222022100 in words is "one billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 24103 25350 48206 50700 72309 96412 120515 144618 241030 289236 313339 361545 482060 602575 626678 723090 940017 1205150 1253356 1446180 1566695 1807725 1880034 2410300 3133390 3615450 3760068 4073407 4700085 6266780 7230900 7833475 8146814 9400170 12220221 15666950 16293628 18800340 20367035 23500425 24440442 31333900 40734070 47000850 48880884 61101105 81468140 94001700 101835175 122202210 203670350 244404420 305505525 407340700 611011050 1222022100