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2044220100 = 22352132631993
BaseRepresentation
bin111100111011000…
…0101001011000100
312021110120010210120
41321312011023010
513141310020400
6534502421540
7101441404236
oct17166051304
95243503716
102044220100
119599aa8aa
124907318b0
1326768a9c0
141556ca256
15be6e9ca0
hex79d852c4

2044220100 has 144 divisors (see below), whose sum is σ = 6397007232. Its totient is φ = 501027840.

The previous prime is 2044220099. The next prime is 2044220111. The reversal of 2044220100 is 10224402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2044220100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024704 + ... + 1026696.

Almost surely, 22044220100 is an apocalyptic number.

2044220100 is a gapful number since it is divisible by the number (20) 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 2044220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198503616).

2044220100 is an abundant number, since it is smaller than the sum of its proper divisors (4352787132).

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

2044220100 is a wasteful number, since it uses less digits than its factorization.

2044220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2044220100 is about 45213.0523189930. The cubic root of 2044220100 is about 1269.1390821386.

Adding to 2044220100 its reverse (10224402), we get a palindrome (2054444502).

The spelling of 2044220100 in words is "two billion, forty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 263 300 325 390 526 650 780 789 975 1052 1300 1315 1578 1950 1993 2630 3156 3419 3900 3945 3986 5260 5979 6575 6838 7890 7972 9965 10257 11958 13150 13676 15780 17095 19725 19930 20514 23916 25909 26300 29895 34190 39450 39860 41028 49825 51285 51818 59790 68380 77727 78900 85475 99650 102570 103636 119580 129545 149475 155454 170950 199300 205140 256425 259090 298950 310908 341900 388635 512850 518180 524159 597900 647725 777270 1025700 1048318 1295450 1554540 1572477 1943175 2096636 2590900 2620795 3144954 3886350 5241590 6289908 6814067 7772700 7862385 10483180 13103975 13628134 15724770 20442201 26207950 27256268 31449540 34070335 39311925 40884402 52415900 68140670 78623850 81768804 102211005 136281340 157247700 170351675 204422010 340703350 408844020 511055025 681406700 1022110050 2044220100