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10055220 = 2235789269
BaseRepresentation
bin100110010110…
…111000110100
3200220212011120
4212112320310
510033231340
6555303540
7151316340
oct46267064
920825146
1010055220
1157486aa
12344abb0
132110a46
14149a620
15d394d0
hex996e34

10055220 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2264064.

The previous prime is 10055219. The next prime is 10055263. The reversal of 10055220 is 2255001.

10055220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100552202 = 202214898496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10055220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37246 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 210055220 is an apocalyptic number.

10055220 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 10055220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10055220 is an abundant number, since it is smaller than the sum of its proper divisors (22603980).

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

10055220 is a wasteful number, since it uses less digits than its factorization.

10055220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10055220 is about 3170.9966887400. The cubic root of 10055220 is about 215.8393009121.

The spelling of 10055220 in words is "ten million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 269 356 420 445 534 538 623 807 890 1068 1076 1246 1335 1345 1614 1780 1869 1883 2492 2670 2690 3115 3228 3738 3766 4035 5340 5380 5649 6230 7476 7532 8070 9345 9415 11298 12460 16140 18690 18830 22596 23941 28245 37380 37660 47882 56490 71823 95764 112980 119705 143646 167587 239410 287292 335174 359115 478820 502761 670348 718230 837935 1005522 1436460 1675870 2011044 2513805 3351740 5027610 10055220