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55058220 = 223257371181
BaseRepresentation
bin1101001000000…
…1111100101100
310211121020200100
43102001330230
5103043330340
65244031100
71235662410
oct322017454
9124536610
1055058220
1129096068
1216532490
13b539839
147452d40
154c78830
hex3481f2c

55058220 has 144 divisors (see below), whose sum is σ = 196193088. Its totient is φ = 12234240.

The previous prime is 55058177. The next prime is 55058221. The reversal of 55058220 is 2285055.

It is not an unprimeable number, because it can be changed into a prime (55058221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46030 + ... + 47210.

It is an arithmetic number, because the mean of its divisors is an integer number (1362452).

Almost surely, 255058220 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 55058220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98096544).

55058220 is an abundant number, since it is smaller than the sum of its proper divisors (141134868).

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

55058220 is a wasteful number, since it uses less digits than its factorization.

55058220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55058220 is about 7420.1226404959. The cubic root of 55058220 is about 380.4293853578.

It can be divided in two parts, 55058 and 220, that added together give a triangular number (55278 = T332).

The spelling of 55058220 in words is "fifty-five million, fifty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1181 1260 1295 1332 1554 1665 2220 2331 2362 2590 3108 3330 3543 3885 4662 4724 5180 5905 6660 7086 7770 8267 9324 10629 11655 11810 14172 15540 16534 17715 21258 23310 23620 24801 33068 35430 41335 42516 43697 46620 49602 53145 70860 74403 82670 87394 99204 106290 124005 131091 148806 165340 174788 212580 218485 248010 262182 297612 305879 372015 393273 436970 496020 524364 611758 655455 744030 786546 873940 917637 1223516 1310910 1488060 1529395 1573092 1835274 1966365 2621820 2752911 3058790 3670548 3932730 4588185 5505822 6117580 7865460 9176370 11011644 13764555 18352740 27529110 55058220