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2002005250 = 2537337631
BaseRepresentation
bin111011101010100…
…0010110100000010
312011112010101220121
41313111002310002
513100003132000
6530353530454
7100416523000
oct16725026402
95145111817
102002005250
119380971a3
1247a573a2a
1325b9c9cbb
1414dc5ba70
15bab5bb1a
hex77542d02

2002005250 has 128 divisors (see below), whose sum is σ = 4495795200. Its totient is φ = 666792000.

The previous prime is 2002005233. The next prime is 2002005251. The reversal of 2002005250 is 525002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002005251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3172435 + ... + 3173065.

It is an arithmetic number, because the mean of its divisors is an integer number (35123400).

Almost surely, 22002005250 is an apocalyptic number.

2002005250 is an abundant number, since it is smaller than the sum of its proper divisors (2493789950).

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

2002005250 is an equidigital number, since it uses as much as digits as its factorization.

2002005250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2002005250 is about 44743.7733098137. The cubic root of 2002005250 is about 1260.3419853603.

Adding to 2002005250 its reverse (525002002), we get a palindrome (2527007252).

The spelling of 2002005250 in words is "two billion, two million, five thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 37 49 50 70 74 98 125 175 185 245 250 259 343 350 370 490 518 631 686 875 925 1225 1262 1295 1715 1750 1813 1850 2450 2590 3155 3430 3626 4417 4625 6125 6310 6475 8575 8834 9065 9250 12250 12691 12950 15775 17150 18130 22085 23347 25382 30919 31550 32375 42875 44170 45325 46694 61838 63455 64750 78875 85750 90650 110425 116735 126910 154595 157750 163429 216433 220850 226625 233470 309190 317275 326858 432866 453250 552125 583675 634550 772975 817145 1082165 1104250 1144003 1167350 1545950 1586375 1634290 2164330 2288006 2918375 3172750 3864875 4085725 5410825 5720015 5836750 7729750 8008021 8171450 10821650 11440030 16016042 20428625 27054125 28600075 40040105 40857250 54108250 57200150 80080210 143000375 200200525 286000750 400401050 1001002625 2002005250