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2205126 = 2327113743
BaseRepresentation
bin1000011010010111000110
311011000212100
420122113012
51031031001
6115132530
724512640
oct10322706
94130770
102205126
111276820
128a4146
135c2911
14415890
152d8586
hex21a5c6

2205126 has 96 divisors (see below), whose sum is σ = 6259968. Its totient is φ = 544320.

The previous prime is 2205113. The next prime is 2205139. The reversal of 2205126 is 6215022.

It is an interprime number because it is at equal distance from previous prime (2205113) and next prime (2205139).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2205099 and 2205108.

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, 51261 + ... + 51303.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

22205126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129984).

2205126 is an abundant number, since it is smaller than the sum of its proper divisors (4054842).

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

2205126 is a wasteful number, since it uses less digits than its factorization.

2205126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2205126 is about 1484.9666662925. The cubic root of 2205126 is about 130.1600789358.

The spelling of 2205126 in words is "two million, two hundred five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 43 63 66 74 77 86 99 111 126 129 154 198 222 231 258 259 301 333 387 407 462 473 518 602 666 693 774 777 814 903 946 1221 1386 1419 1554 1591 1806 2331 2442 2709 2838 2849 3182 3311 3663 4257 4662 4773 5418 5698 6622 7326 8514 8547 9546 9933 11137 14319 17094 17501 19866 22274 25641 28638 29799 33411 35002 51282 52503 59598 66822 100233 105006 122507 157509 200466 245014 315018 367521 735042 1102563 2205126