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2114263140 = 22351117188437
BaseRepresentation
bin111111000000101…
…0001100001100100
312110100100200210020
41332001101201210
513312222410030
6545443555140
7103251640323
oct17601214144
95410320706
102114263140
119954a0210
124b008bab0
13279042ca2
14160b200ba
15c5933510
hex7e051864

2114263140 has 96 divisors (see below), whose sum is σ = 6838038144. Its totient is φ = 482396160.

The previous prime is 2114263127. The next prime is 2114263153. The reversal of 2114263140 is 413624112.

It is an interprime number because it is at equal distance from previous prime (2114263127) and next prime (2114263153).

It is a self number, because there is not a number n which added to its sum of digits gives 2114263140.

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 31 ways as a sum of consecutive naturals, for example, 82999 + ... + 105438.

It is an arithmetic number, because the mean of its divisors is an integer number (71229564).

Almost surely, 22114263140 is an apocalyptic number.

2114263140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114263140 is an abundant number, since it is smaller than the sum of its proper divisors (4723775004).

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

2114263140 is a wasteful number, since it uses less digits than its factorization.

2114263140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188477 (or 188475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2114263140 is about 45981.1172113075. The cubic root of 2114263140 is about 1283.4718448725.

Adding to 2114263140 its reverse (413624112), we get a palindrome (2527887252).

The spelling of 2114263140 in words is "two billion, one hundred fourteen million, two hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 188437 376874 565311 753748 942185 1130622 1884370 2072807 2261244 2826555 3203429 3768740 4145614 5653110 6218421 6406858 8291228 9610287 10364035 11306220 12436842 12813716 16017145 19220574 20728070 24873684 31092105 32034290 35237719 38441148 41456140 48051435 62184210 64068580 70475438 96102870 105713157 124368420 140950876 176188595 192205740 211426314 352377190 422852628 528565785 704754380 1057131570 2114263140