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2218230 = 232572503
BaseRepresentation
bin1000011101100011110110
311011200211200
420131203312
51031440410
6115313330
724566100
oct10354366
94150750
102218230
111285653
128ab846
135c8881
1441a570
152dc3c0
hex21d8f6

2218230 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 506016.

The previous prime is 2218219. The next prime is 2218277. The reversal of 2218230 is 328122.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4159 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

22218230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2218230 is an abundant number, since it is smaller than the sum of its proper divisors (4504122).

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

2218230 is a wasteful number, since it uses less digits than its factorization.

2218230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2218230 is about 1489.3723510258. The cubic root of 2218230 is about 130.4173960883.

The spelling of 2218230 in words is "two million, two hundred eighteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 503 630 735 882 1006 1470 1509 2205 2515 3018 3521 4410 4527 5030 7042 7545 9054 10563 15090 17605 21126 22635 24647 31689 35210 45270 49294 52815 63378 73941 105630 123235 147882 158445 221823 246470 316890 369705 443646 739410 1109115 2218230