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2213483430 = 235233678741
BaseRepresentation
bin1000001111101111…
…0001001110100110
312201021001121102210
42003323301032212
514013122432210
61003350344250
7105565204314
oct20373611646
95637047383
102213483430
11a364a9954
1251935b086
13293772912
1416dd8b0b4
15ce4d1e20
hex83ef13a6

2213483430 has 64 divisors (see below), whose sum is σ = 5559072768. Its totient is φ = 562995840.

The previous prime is 2213483423. The next prime is 2213483431. The reversal of 2213483430 is 343843122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213483431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248860 + ... + 257600.

It is an arithmetic number, because the mean of its divisors is an integer number (86860512).

Almost surely, 22213483430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213483430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779536384).

2213483430 is an abundant number, since it is smaller than the sum of its proper divisors (3345589338).

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

2213483430 is a wasteful number, since it uses less digits than its factorization.

2213483430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2213483430 is about 47047.6718871402. The cubic root of 2213483430 is about 1303.2430724982.

The spelling of 2213483430 in words is "two billion, two hundred thirteen million, four hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 367 690 734 1101 1835 2202 3670 5505 8441 8741 11010 16882 17482 25323 26223 42205 43705 50646 52446 84410 87410 126615 131115 201043 253230 262230 402086 603129 1005215 1206258 2010430 3015645 3207947 6031290 6415894 9623841 16039735 19247682 32079470 48119205 73782781 96238410 147565562 221348343 368913905 442696686 737827810 1106741715 2213483430