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2213003430 = 2375119199
BaseRepresentation
bin1000001111100111…
…1100000010100110
312201020011020000000
42003321330002212
514013012102210
61003332202130
7105561135021
oct20371740246
95636136000
102213003430
11a36201260
12519169346
132936352b1
1416dca41b8
15ce439ac0
hex83e7c0a6

2213003430 has 128 divisors (see below), whose sum is σ = 6518016000. Its totient is φ = 536427360.

The previous prime is 2213003363. The next prime is 2213003431. The reversal of 2213003430 is 343003122.

2213003430 is a `hidden beast` number, since 2 + 21 + 300 + 343 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213003431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235971 + ... + 245169.

It is an arithmetic number, because the mean of its divisors is an integer number (50922000).

Almost surely, 22213003430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259008000).

2213003430 is an abundant number, since it is smaller than the sum of its proper divisors (4305012570).

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

2213003430 is an equidigital number, since it uses as much as digits as its factorization.

2213003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2213003430 is about 47042.5704017117. The cubic root of 2213003430 is about 1303.1488617338.

Adding to 2213003430 its reverse (343003122), we get a palindrome (2556006552).

The spelling of 2213003430 in words is "two billion, two hundred thirteen million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 7290 8019 8910 9199 10935 13365 16038 18398 21870 24057 26730 27597 40095 45995 48114 55194 80190 82791 91990 101189 120285 137985 165582 202378 240570 248373 275970 303567 413955 496746 505945 607134 745119 827910 910701 1011890 1241865 1490238 1517835 1821402 2235357 2483730 2732103 3035670 3725595 4470714 4553505 5464206 6706071 7451190 8196309 9107010 11176785 13412142 13660515 16392618 20118213 22353570 24588927 27321030 33530355 40236426 40981545 49177854 67060710 73766781 81963090 100591065 122944635 147533562 201182130 221300343 245889270 368833905 442600686 737667810 1106501715 2213003430