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2205330 = 235195373
BaseRepresentation
bin1000011010011010010010
311011001010220
420122122102
51031032310
6115133510
724513351
oct10323222
94131126
102205330
111276996
128a4296
135c2a3a
14415998
152d8670
hex21a692

2205330 has 64 divisors (see below), whose sum is σ = 5754240. Its totient is φ = 539136.

The previous prime is 2205323. The next prime is 2205353. The reversal of 2205330 is 335022.

2205330 is nontrivially palindromic in base 4.

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

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, 30174 + ... + 30246.

It is an arithmetic number, because the mean of its divisors is an integer number (89910).

22205330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877120).

2205330 is an abundant number, since it is smaller than the sum of its proper divisors (3548910).

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

2205330 is a wasteful number, since it uses less digits than its factorization.

2205330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2205330 is about 1485.0353531145. The cubic root of 2205330 is about 130.1640925896.

The spelling of 2205330 in words is "two million, two hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 73 95 106 114 146 159 190 219 265 285 318 365 438 530 570 730 795 1007 1095 1387 1590 2014 2190 2774 3021 3869 4161 5035 6042 6935 7738 8322 10070 11607 13870 15105 19345 20805 23214 30210 38690 41610 58035 73511 116070 147022 220533 367555 441066 735110 1102665 2205330