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2144624220 = 2232540929131
BaseRepresentation
bin111111111010100…
…0101111001011100
312112110111012100200
41333311011321130
513343010433340
6552450423500
7104101001514
oct17765057134
95473435320
102144624220
11a00647a12
124ba291b90
1328241341b
14164b84844
15c842e330
hex7fd45e5c

2144624220 has 72 divisors (see below), whose sum is σ = 6521489520. Its totient is φ = 570481920.

The previous prime is 2144624201. The next prime is 2144624249. The reversal of 2144624220 is 224264412.

2144624220 is a `hidden beast` number, since 2 + 14 + 4 + 624 + 2 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59055 + ... + 88185.

Almost surely, 22144624220 is an apocalyptic number.

2144624220 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 2144624220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260744760).

2144624220 is an abundant number, since it is smaller than the sum of its proper divisors (4376865300).

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

2144624220 is a wasteful number, since it uses less digits than its factorization.

2144624220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29555 (or 29550 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2144624220 is about 46310.0876699667. The cubic root of 2144624220 is about 1289.5862743920.

Adding to 2144624220 its reverse (224264412), we get a palindrome (2368888632).

The spelling of 2144624220 in words is "two billion, one hundred forty-four million, six hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 18405 24540 29131 36810 58262 73620 87393 116524 145655 174786 262179 291310 349572 436965 524358 582620 873930 1048716 1310895 1747860 2621790 5243580 11914579 23829158 35743737 47658316 59572895 71487474 107231211 119145790 142974948 178718685 214462422 238291580 357437370 428924844 536156055 714874740 1072312110 2144624220