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2140431500 = 22533725359
BaseRepresentation
bin111111110010100…
…0110010010001100
312112011121012000202
41333211012102030
513340422302000
6552220513032
7104020240034
oct17745062214
95464535022
102140431500
119a9243959
124b89ab778
132815a5c1c
141643b28c4
15c7da1dd5
hex7f94648c

2140431500 has 144 divisors (see below), whose sum is σ = 4978078560. Its totient is φ = 803462400.

The previous prime is 2140431499. The next prime is 2140431551. The reversal of 2140431500 is 51340412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36278471 + ... + 36278529.

It is an arithmetic number, because the mean of its divisors is an integer number (34569990).

Almost surely, 22140431500 is an apocalyptic number.

2140431500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140431500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489039280).

2140431500 is an abundant number, since it is smaller than the sum of its proper divisors (2837647060).

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

2140431500 is a wasteful number, since it uses less digits than its factorization.

2140431500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2140431500 is about 46264.7976327575. The cubic root of 2140431500 is about 1288.7453498440.

Adding to 2140431500 its reverse (51340412), we get a palindrome (2191771912).

The spelling of 2140431500 in words is "two billion, one hundred forty million, four hundred thirty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 59 74 100 106 118 125 148 185 212 236 250 265 295 370 500 530 590 740 925 1060 1180 1325 1369 1475 1850 1961 2183 2650 2738 2950 3127 3700 3922 4366 4625 5300 5476 5900 6254 6625 6845 7375 7844 8732 9250 9805 10915 12508 13250 13690 14750 15635 18500 19610 21830 26500 27380 29500 31270 34225 39220 43660 49025 54575 62540 68450 72557 78175 80771 98050 109150 115699 136900 145114 156350 161542 171125 196100 218300 231398 245125 272875 290228 312700 323084 342250 362785 390875 403855 462796 490250 545750 578495 684500 725570 781750 807710 980500 1091500 1156990 1451140 1563500 1615420 1813925 2019275 2313980 2892475 3627850 4038550 4280863 5784950 7255700 8077100 8561726 9069625 10096375 11569900 14462375 17123452 18139250 20192750 21404315 28924750 36278500 40385500 42808630 57849500 85617260 107021575 214043150 428086300 535107875 1070215750 2140431500