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18797220 = 223251329277
BaseRepresentation
bin100011110110…
…1001010100100
31022100222221100
41013231022210
514303002340
61510520100
7315526251
oct107551244
938328840
1018797220
11a6796a2
126366030
133b81b20
1426d4428
1519b4830
hex11ed2a4

18797220 has 144 divisors (see below), whose sum is σ = 63750960. Its totient is φ = 4451328.

The previous prime is 18797209. The next prime is 18797239. The reversal of 18797220 is 2279781.

It can be written as a sum of positive squares in 8 ways, for example, as 3305124 + 15492096 = 1818^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 67722 + ... + 67998.

It is an arithmetic number, because the mean of its divisors is an integer number (442715).

Almost surely, 218797220 is an apocalyptic number.

18797220 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 18797220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875480).

18797220 is an abundant number, since it is smaller than the sum of its proper divisors (44953740).

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

18797220 is a wasteful number, since it uses less digits than its factorization.

18797220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 18797220 is about 4335.5760862889. The cubic root of 18797220 is about 265.8874719539.

The spelling of 18797220 in words is "eighteen million, seven hundred ninety-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 277 290 348 377 390 435 468 522 554 580 585 754 780 831 870 1044 1108 1131 1170 1305 1385 1508 1662 1740 1885 2262 2340 2493 2610 2770 3324 3393 3601 3770 4155 4524 4986 5220 5540 5655 6786 7202 7540 8033 8310 9972 10803 11310 12465 13572 14404 16066 16620 16965 18005 21606 22620 24099 24930 32132 32409 33930 36010 40165 43212 48198 49860 54015 64818 67860 72020 72297 80330 96396 104429 108030 120495 129636 144594 160660 162045 208858 216060 240990 289188 313287 324090 361485 417716 481980 522145 626574 648180 722970 939861 1044290 1253148 1445940 1566435 1879722 2088580 3132870 3759444 4699305 6265740 9398610 18797220