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2002414204 = 227289191601
BaseRepresentation
bin111011101011010…
…0110101001111100
312011112220011220001
41313112212221330
513100104223304
6530410404044
7100423145200
oct16726465174
95145804801
102002414204
1193834647a
1247a730624
1325bb1119b
1414dd26b00
15babdcda4
hex775a6a7c

2002414204 has 72 divisors (see below), whose sum is σ = 4150621440. Its totient is φ = 842688000.

The previous prime is 2002414187. The next prime is 2002414213. The reversal of 2002414204 is 4024142002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3331504 + ... + 3332104.

It is an arithmetic number, because the mean of its divisors is an integer number (57647520).

Almost surely, 22002414204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002414204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075310720).

2002414204 is an abundant number, since it is smaller than the sum of its proper divisors (2148207236).

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

2002414204 is a wasteful number, since it uses less digits than its factorization.

2002414204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2002414204 is about 44748.3430307760. The cubic root of 2002414204 is about 1260.4277971241.

Adding to 2002414204 its reverse (4024142002), we get a palindrome (6026556206).

The spelling of 2002414204 in words is "two billion, two million, four hundred fourteen thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 89 98 178 191 196 356 382 601 623 764 1202 1246 1337 2404 2492 2674 4207 4361 5348 8414 8722 9359 16828 16999 17444 18718 29449 33998 37436 53489 58898 67996 106978 114791 117796 118993 213956 229582 237986 374423 459164 475972 748846 803537 832951 1497692 1607074 1665902 2620961 3214148 3331804 5241922 5624759 10216399 10483844 11249518 20432798 22499036 40865596 71514793 143029586 286059172 500603551 1001207102 2002414204