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20219220 = 2234571783
BaseRepresentation
bin100110100100…
…0010101010100
31102001020120000
41031020111110
520134003340
62001211300
7333601110
oct115102524
942036500
1020219220
111045aaaa
126930b30
13425c148
142984740
151b95d30
hex1348554

20219220 has 120 divisors (see below), whose sum is σ = 72530304. Its totient is φ = 4618944.

The previous prime is 20219219. The next prime is 20219237. The reversal of 20219220 is 2291202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20219193 and 20219202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10449 + ... + 12231.

Almost surely, 220219220 is an apocalyptic number.

20219220 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 20219220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265152).

20219220 is an abundant number, since it is smaller than the sum of its proper divisors (52311084).

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

20219220 is a wasteful number, since it uses less digits than its factorization.

20219220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20219220 is about 4496.5786994114. The cubic root of 20219220 is about 272.4299177294.

The spelling of 20219220 in words is "twenty million, two hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1783 1890 2268 2835 3566 3780 5349 5670 7132 8915 10698 11340 12481 16047 17830 21396 24962 26745 32094 35660 37443 48141 49924 53490 62405 64188 74886 80235 96282 106980 112329 124810 144423 149772 160470 187215 192564 224658 240705 249620 288846 320940 336987 374430 449316 481410 561645 577692 673974 722115 748860 962820 1010961 1123290 1347948 1444230 1684935 2021922 2246580 2888460 3369870 4043844 5054805 6739740 10109610 20219220