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2142070224 = 243723277183
BaseRepresentation
bin111111110101101…
…0110010111010000
312112021200102221020
41333223112113100
513341332221344
6552315555440
7104040203460
oct17753262720
95467612836
102142070224
119aa163078
124b945bb80
13281a2aa98
141646bbba0
15c80c7719
hex7fad65d0

2142070224 has 80 divisors (see below), whose sum is σ = 6599196672. Its totient is φ = 585408384.

The previous prime is 2142070103. The next prime is 2142070253. The reversal of 2142070224 is 4220702412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2142070194 and 2142070203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130864 + ... + 146319.

Almost surely, 22142070224 is an apocalyptic number.

2142070224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142070224 is an abundant number, since it is smaller than the sum of its proper divisors (4457126448).

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

2142070224 is a wasteful number, since it uses less digits than its factorization.

2142070224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277224 (or 277218 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2142070224 is about 46282.5045130447. The cubic root of 2142070224 is about 1289.0741556952.

Adding to 2142070224 its reverse (4220702412), we get a palindrome (6362772636).

The spelling of 2142070224 in words is "two billion, one hundred forty-two million, seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 277183 554366 831549 1108732 1663098 1940281 2217464 3326196 3880562 4434928 5820843 6375209 6652392 7761124 11641686 12750418 13304784 15522248 19125627 23283372 25500836 31044496 38251254 44626463 46566744 51001672 76502508 89252926 93133488 102003344 133879389 153005016 178505852 267758778 306010032 357011704 535517556 714023408 1071035112 2142070224