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2135228240 = 24529920357
BaseRepresentation
bin111111101000100…
…1111111101010000
312111210210211111102
41333101033331100
513333104300430
6551513203532
7103625066135
oct17721177520
95453724442
102135228240
119a630a642
124b71005a8
132804a3782
1416381a58c
15c76c5345
hex7f44ff50

2135228240 has 40 divisors (see below), whose sum is σ = 5135597640. Its totient is φ = 824638976.

The previous prime is 2135228239. The next prime is 2135228243. The reversal of 2135228240 is 428225312.

It can be written as a sum of positive squares in 4 ways, for example, as 885181504 + 1250046736 = 29752^2 + 35356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135228243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 457859 + ... + 462498.

It is an arithmetic number, because the mean of its divisors is an integer number (128389941).

Almost surely, 22135228240 is an apocalyptic number.

2135228240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135228240 is an abundant number, since it is smaller than the sum of its proper divisors (3000369400).

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

2135228240 is a wasteful number, since it uses less digits than its factorization.

2135228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920399 (or 920393 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2135228240 is about 46208.5299484846. The cubic root of 2135228240 is about 1287.7002150696.

The spelling of 2135228240 in words is "two billion, one hundred thirty-five million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 920357 1840714 3681428 4601785 7362856 9203570 14725712 18407140 26690353 36814280 53380706 73628560 106761412 133451765 213522824 266903530 427045648 533807060 1067614120 2135228240