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2142130224 = 2431319180679
BaseRepresentation
bin111111110101110…
…0101000000110000
312112021210111020110
41333223211000300
513341341131344
6552321141320
7104040543423
oct17753450060
95467714213
102142130224
119aa1a4163
124b948a840
13281a4c1a0
141646d59ba
15c80da3b9
hex7fae5030

2142130224 has 80 divisors (see below), whose sum is σ = 6273209600. Its totient is φ = 624423168.

The previous prime is 2142130223. The next prime is 2142130273. The reversal of 2142130224 is 4220312412.

2142130224 = T477 + T478 + ... + T2348.

It is a self number, because there is not a number n which added to its sum of digits gives 2142130224.

It is not an unprimeable number, because it can be changed into a prime (2142130223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78484 + ... + 102195.

It is an arithmetic number, because the mean of its divisors is an integer number (78415120).

Almost surely, 22142130224 is an apocalyptic number.

2142130224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142130224 is an abundant number, since it is smaller than the sum of its proper divisors (4131079376).

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

2142130224 is a wasteful number, since it uses less digits than its factorization.

2142130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180722 (or 180716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2142130224 is about 46283.1527016041. The cubic root of 2142130224 is about 1289.0861913615.

Adding to 2142130224 its reverse (4220312412), we get a palindrome (6362442636).

The spelling of 2142130224 in words is "two billion, one hundred forty-two million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 180679 361358 542037 722716 1084074 1445432 2168148 2348827 2890864 3432901 4336296 4697654 6865802 7046481 8672592 9395308 10298703 13731604 14092962 18790616 20597406 27463208 28185924 37581232 41194812 44627713 54926416 56371848 82389624 89255426 112743696 133883139 164779248 178510852 267766278 357021704 535532556 714043408 1071065112 2142130224