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21110220 = 2234583157
BaseRepresentation
bin101000010000…
…1110111001100
31110201111210000
41100201313030
520401011340
62032244300
7344301555
oct120416714
943644700
1021110220
1110a0946a
1270a0690
1344b1871
142b3732c
151cbed30
hex1421dcc

21110220 has 120 divisors (see below), whose sum is σ = 67448304. Its totient is φ = 5526144.

The previous prime is 21110189. The next prime is 21110227. The reversal of 21110220 is 2201112.

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

It is not an unprimeable number, because it can be changed into a prime (21110227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134382 + ... + 134538.

Almost surely, 221110220 is an apocalyptic number.

21110220 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 21110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33724152).

21110220 is an abundant number, since it is smaller than the sum of its proper divisors (46338084).

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

21110220 is a wasteful number, since it uses less digits than its factorization.

21110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

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

The square root of 21110220 is about 4594.5859443480. The cubic root of 21110220 is about 276.3742559846.

Adding to 21110220 its reverse (2201112), we get a palindrome (23311332).

The spelling of 21110220 in words is "twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 157 162 166 180 249 270 314 324 332 405 415 471 498 540 628 747 785 810 830 942 996 1245 1413 1494 1570 1620 1660 1884 2241 2355 2490 2826 2988 3140 3735 4239 4482 4710 4980 5652 6723 7065 7470 8478 8964 9420 11205 12717 13031 13446 14130 14940 16956 21195 22410 25434 26062 26892 28260 33615 39093 42390 44820 50868 52124 63585 65155 67230 78186 84780 117279 127170 130310 134460 156372 195465 234558 254340 260620 351837 390930 469116 586395 703674 781860 1055511 1172790 1407348 1759185 2111022 2345580 3518370 4222044 5277555 7036740 10555110 21110220