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2172890424 = 233294197451
BaseRepresentation
bin1000000110000011…
…1010110100111000
312121102200021022010
42001200322310320
513422224443144
6555340325520
7104563156335
oct20140726470
95542607263
102172890424
11a155a3811
125078438a0
1328822c1a3
1416882198c
15cab645b9
hex8183ad38

2172890424 has 64 divisors (see below), whose sum is σ = 5633712000. Its totient is φ = 697558400.

The previous prime is 2172890413. The next prime is 2172890437. The reversal of 2172890424 is 4240982712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287899 + ... + 295349.

It is an arithmetic number, because the mean of its divisors is an integer number (88026750).

Almost surely, 22172890424 is an apocalyptic number.

2172890424 is a gapful number since it is divisible by the number (24) 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 2172890424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816856000).

2172890424 is an abundant number, since it is smaller than the sum of its proper divisors (3460821576).

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

2172890424 is a wasteful number, since it uses less digits than its factorization.

2172890424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2172890424 is about 46614.2727498778. The cubic root of 2172890424 is about 1295.2271579174.

The spelling of 2172890424 in words is "two billion, one hundred seventy-two million, eight hundred ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 419 696 838 1257 1676 2514 3352 5028 7451 10056 12151 14902 22353 24302 29804 36453 44706 48604 59608 72906 89412 97208 145812 178824 216079 291624 432158 648237 864316 1296474 1728632 2592948 3121969 5185896 6243938 9365907 12487876 18731814 24975752 37463628 74927256 90537101 181074202 271611303 362148404 543222606 724296808 1086445212 2172890424