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2150223705 = 335729312531
BaseRepresentation
bin1000000000101001…
…1100111101011001
312112212000200102000
42000022130331121
513400424124310
6553210431213
7104166412530
oct20012347531
95485020360
102150223705
11a03821993
12500132509
13283624026
14165801317
15c8b884c0
hex8029cf59

2150223705 has 128 divisors (see below), whose sum is σ = 4666982400. Its totient is φ = 918086400.

The previous prime is 2150223703. The next prime is 2150223731. The reversal of 2150223705 is 5073220512.

It is not a de Polignac number, because 2150223705 - 21 = 2150223703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2150223703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848290 + ... + 850820.

It is an arithmetic number, because the mean of its divisors is an integer number (36460800).

Almost surely, 22150223705 is an apocalyptic number.

It is an amenable number.

2150223705 is an abundant number, since it is smaller than the sum of its proper divisors (2516758695).

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

2150223705 is a wasteful number, since it uses less digits than its factorization.

2150223705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2150223705 is about 46370.5046877862. The cubic root of 2150223705 is about 1290.7076431122.

The spelling of 2150223705 in words is "two billion, one hundred fifty million, two hundred twenty-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 29 31 35 45 63 87 93 105 135 145 155 189 203 217 261 279 315 435 465 609 651 783 837 899 945 1015 1085 1305 1395 1827 1953 2531 2697 3045 3255 3915 4185 4495 5481 5859 6293 7593 8091 9135 9765 12655 13485 17717 18879 22779 24273 27405 29295 31465 37965 40455 53151 56637 68337 73399 78461 88585 94395 113895 121365 159453 169911 220197 235383 265755 283185 341685 366995 392305 478359 513793 549227 660591 706149 797265 849555 1100985 1176915 1541379 1647681 1981773 2118447 2275369 2391795 2568965 2746135 3302955 3530745 4624137 4943043 6826107 7706895 8238405 9908865 10592235 11376845 13872411 14829129 15927583 20478321 23120685 24715215 34130535 47782749 61434963 69362055 74145645 79637915 102391605 143348247 238913745 307174815 430044741 716741235 2150223705