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2213838424 = 2372291491307
BaseRepresentation
bin1000001111110100…
…0111111001011000
312201021201122101201
42003331013321120
514013220312144
61003402123544
7105601213300
oct20375077130
95637648351
102213838424
11a36721636
125194b05b4
13293868385
14170040600
15ce5521d4
hex83f47e58

2213838424 has 96 divisors (see below), whose sum is σ = 5032530000. Its totient is φ = 909226752.

The previous prime is 2213838401. The next prime is 2213838437. The reversal of 2213838424 is 4248383122.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1693179 + ... + 1694485.

Almost surely, 22213838424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213838424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516265000).

2213838424 is an abundant number, since it is smaller than the sum of its proper divisors (2818691576).

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

2213838424 is a wasteful number, since it uses less digits than its factorization.

2213838424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 2213838424 is about 47051.4444411646. Note that the first 5 decimals coincide. The cubic root of 2213838424 is about 1303.3127392709.

The spelling of 2213838424 in words is "two billion, two hundred thirteen million, eight hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 149 196 203 232 298 392 406 596 812 1043 1192 1307 1421 1624 2086 2614 2842 4172 4321 5228 5684 7301 8344 8642 9149 10456 11368 14602 17284 18298 29204 30247 34568 36596 37903 58408 60494 64043 73192 75806 120988 128086 151612 194743 211729 241976 256172 265321 303224 389486 423458 512344 530642 778972 846916 1061284 1363201 1557944 1693832 1857247 2122568 2726402 3714494 5452804 5647547 7428988 9542407 10905608 11295094 14857976 19084814 22590188 38169628 39532829 45180376 76339256 79065658 158131316 276729803 316262632 553459606 1106919212 2213838424