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2205005100 = 22352191312953
BaseRepresentation
bin1000001101101101…
…1011010100101100
312200200002212100120
42003123123110230
514003440130400
61002444524540
7105433143204
oct20333332454
95620085316
102205005100
11a31738a71
12516550750
13291a9485c
1416cbc1404
15cd8a9ca0
hex836db52c

2205005100 has 144 divisors (see below), whose sum is σ = 6769150080. Its totient is φ = 552614400.

The previous prime is 2205005087. The next prime is 2205005123. The reversal of 2205005100 is 15005022.

2205005100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 2205005100.

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, 745224 + ... + 748176.

Almost surely, 22205005100 is an apocalyptic number.

2205005100 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 2205005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384575040).

2205005100 is an abundant number, since it is smaller than the sum of its proper divisors (4564144980).

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

2205005100 is a wasteful number, since it uses less digits than its factorization.

2205005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3113 counting only the distinct ones).

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

The square root of 2205005100 is about 46957.4818319722. The cubic root of 2205005100 is about 1301.5770013882.

The spelling of 2205005100 in words is "two billion, two hundred five million, five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 131 150 190 228 262 285 300 380 393 475 524 570 655 786 950 1140 1310 1425 1572 1900 1965 2489 2620 2850 2953 3275 3930 4978 5700 5906 6550 7467 7860 8859 9825 9956 11812 12445 13100 14765 14934 17718 19650 24890 29530 29868 35436 37335 39300 44295 49780 56107 59060 62225 73825 74670 88590 112214 124450 147650 149340 168321 177180 186675 221475 224428 248900 280535 295300 336642 373350 386843 442950 561070 673284 746700 773686 841605 885900 1122140 1160529 1402675 1547372 1683210 1934215 2321058 2805350 3366420 3868430 4208025 4642116 5610700 5802645 7350017 7736860 8416050 9671075 11605290 14700034 16832100 19342150 22050051 23210580 29013225 29400068 36750085 38684300 44100102 58026450 73500170 88200204 110250255 116052900 147000340 183750425 220500510 367500850 441001020 551251275 735001700 1102502550 2205005100