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2213010320 = 245231378779
BaseRepresentation
bin1000001111100111…
…1101101110010000
312201020011120110012
42003321331232100
514013012312240
61003332254052
7105561164063
oct20371755620
95636146405
102213010320
11a36206454
12519171328
13293638481
1416dca68da
15ce43bb65
hex83e7db90

2213010320 has 80 divisors (see below), whose sum is σ = 5408760960. Its totient is φ = 840440832.

The previous prime is 2213010307. The next prime is 2213010337. The reversal of 2213010320 is 230103122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2213010295 and 2213010304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247691 + ... + 256469.

It is an arithmetic number, because the mean of its divisors is an integer number (67609512).

Almost surely, 22213010320 is an apocalyptic number.

2213010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704380480).

2213010320 is an abundant number, since it is smaller than the sum of its proper divisors (3195750640).

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

2213010320 is a wasteful number, since it uses less digits than its factorization.

2213010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2213010320 is about 47042.6436331973. The cubic root of 2213010320 is about 1303.1502141471.

Adding to 2213010320 its reverse (230103122), we get a palindrome (2443113442).

The spelling of 2213010320 in words is "two billion, two hundred thirteen million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 137 184 230 274 368 460 548 685 920 1096 1370 1840 2192 2740 3151 5480 6302 8779 10960 12604 15755 17558 25208 31510 35116 43895 50416 63020 70232 87790 126040 140464 175580 201917 252080 351160 403834 702320 807668 1009585 1202723 1615336 2019170 2405446 3230672 4038340 4810892 6013615 8076680 9621784 12027230 16153360 19243568 24054460 27662629 48108920 55325258 96217840 110650516 138313145 221301032 276626290 442602064 553252580 1106505160 2213010320