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55218420 = 223254761107
BaseRepresentation
bin1101001010100…
…1000011110100
310211220101102200
43102221003310
5103113442140
65251304500
71240230435
oct322510364
9124811380
1055218420
1129195464
12165ab130
13b59472a
14749548c
154cab030
hex34a90f4

55218420 has 144 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 14042880.

The previous prime is 55218391. The next prime is 55218433. The reversal of 55218420 is 2481255.

It is a happy number.

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, 516007 + ... + 516113.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 255218420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55218420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

55218420 is an abundant number, since it is smaller than the sum of its proper divisors (120270348).

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

55218420 is a wasteful number, since it uses less digits than its factorization.

55218420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55218420 is about 7430.9097693351. The cubic root of 55218420 is about 380.7979998512.

Adding to 55218420 its reverse (2481255), we get a palindrome (57699675).

The spelling of 55218420 in words is "fifty-five million, two hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 61 90 94 107 122 141 180 183 188 214 235 244 282 305 321 366 423 428 470 535 549 564 610 642 705 732 846 915 940 963 1070 1098 1220 1284 1410 1605 1692 1830 1926 2115 2140 2196 2745 2820 2867 3210 3660 3852 4230 4815 5029 5490 5734 6420 6527 8460 8601 9630 10058 10980 11468 13054 14335 15087 17202 19260 19581 20116 25145 25803 26108 28670 30174 32635 34404 39162 43005 45261 50290 51606 57340 58743 60348 65270 75435 78324 86010 90522 97905 100580 103212 117486 129015 130540 150870 172020 181044 195810 226305 234972 258030 293715 301740 306769 391620 452610 516060 587430 613538 905220 920307 1174860 1227076 1533845 1840614 2760921 3067690 3681228 4601535 5521842 6135380 9203070 11043684 13804605 18406140 27609210 55218420