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2142152280 = 2332529205187
BaseRepresentation
bin111111110101110…
…1010011001011000
312112021211121111100
41333223222121120
513341342333110
6552321431400
7104040664632
oct17753523130
95467747440
102142152280
119aa209794
124b949b560
13281a59238
141646dda52
15c80e1bc0
hex7faea658

2142152280 has 96 divisors (see below), whose sum is σ = 7202098800. Its totient is φ = 551539968.

The previous prime is 2142152267. The next prime is 2142152293. The reversal of 2142152280 is 822512412.

2142152280 is a `hidden beast` number, since 21 + 42 + 1 + 522 + 80 = 666.

2142152280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2142152267) and next prime (2142152293).

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 23 ways as a sum of consecutive naturals, for example, 92154 + ... + 113033.

Almost surely, 22142152280 is an apocalyptic number.

2142152280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142152280 is an abundant number, since it is smaller than the sum of its proper divisors (5059946520).

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

2142152280 is a wasteful number, since it uses less digits than its factorization.

2142152280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205233 (or 205226 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2142152280 is about 46283.3909734367. The cubic root of 2142152280 is about 1289.0906156160.

Adding to 2142152280 its reverse (822512412), we get a palindrome (2964664692).

The spelling of 2142152280 in words is "two billion, one hundred forty-two million, one hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 205187 410374 615561 820748 1025935 1231122 1641496 1846683 2051870 2462244 3077805 3693366 4103740 4924488 5950423 6155610 7386732 8207480 9233415 11900846 12311220 14773464 17851269 18466830 23801692 24622440 29752115 35702538 36933660 47603384 53553807 59504230 71405076 73867320 89256345 107107614 119008460 142810152 178512690 214215228 238016920 267769035 357025380 428430456 535538070 714050760 1071076140 2142152280