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2145330 = 2325112197
BaseRepresentation
bin1000001011110000110010
311000222211200
420023300302
51022122310
6113552030
724143415
oct10136062
94028750
102145330
111235900
12875616
135a1635
143dbb7c
152c59c0
hex20bc32

2145330 has 72 divisors (see below), whose sum is σ = 6162156. Its totient is φ = 517440.

The previous prime is 2145329. The next prime is 2145331. The reversal of 2145330 is 335412.

It is an interprime number because it is at equal distance from previous prime (2145329) and next prime (2145331).

It can be written as a sum of positive squares in 2 ways, for example, as 2013561 + 131769 = 1419^2 + 363^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2145331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10792 + ... + 10988.

22145330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081078).

2145330 is an abundant number, since it is smaller than the sum of its proper divisors (4016826).

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

2145330 is a wasteful number, since it uses less digits than its factorization.

2145330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2145330 is about 1464.6945073974. The cubic root of 2145330 is about 128.9727723318.

The spelling of 2145330 in words is "two million, one hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 197 198 242 330 363 394 495 591 605 726 985 990 1089 1182 1210 1773 1815 1970 2167 2178 2955 3546 3630 4334 5445 5910 6501 8865 10835 10890 13002 17730 19503 21670 23837 32505 39006 47674 65010 71511 97515 119185 143022 195030 214533 238370 357555 429066 715110 1072665 2145330