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2002423302 = 2331117593361
BaseRepresentation
bin111011101011010…
…1000111000000110
312011112220122101000
41313112220320012
513100110021202
6530410514130
7100423213545
oct16726507006
95145818330
102002423302
119383522a0
1247a735946
1325bb15379
1414dd2a15c
15babe091c
hex775a8e06

2002423302 has 128 divisors (see below), whose sum is σ = 5228582400. Its totient is φ = 561254400.

The previous prime is 2002423279. The next prime is 2002423321. The reversal of 2002423302 is 2033242002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594102 + ... + 597462.

It is an arithmetic number, because the mean of its divisors is an integer number (40848300).

Almost surely, 22002423302 is an apocalyptic number.

2002423302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002423302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614291200).

2002423302 is an abundant number, since it is smaller than the sum of its proper divisors (3226159098).

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

2002423302 is a wasteful number, since it uses less digits than its factorization.

2002423302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2002423302 is about 44748.4446880559. Note that the first 3 decimals coincide. The cubic root of 2002423302 is about 1260.4297060456.

Adding to 2002423302 its reverse (2033242002), we get a palindrome (4035665304).

The spelling of 2002423302 in words is "two billion, two million, four hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 59 66 99 102 118 153 177 187 198 297 306 354 374 459 531 561 594 649 918 1003 1062 1122 1298 1593 1683 1947 2006 3009 3186 3361 3366 3894 5049 5841 6018 6722 9027 10083 10098 11033 11682 17523 18054 20166 22066 27081 30249 33099 35046 36971 54162 57137 60498 66198 73942 90747 99297 110913 114274 171411 181494 198299 198594 221826 297891 332739 342822 396598 514233 594897 595782 628507 665478 998217 1028466 1189794 1257014 1542699 1784691 1885521 1996434 2181289 3085398 3371083 3569382 3771042 4362578 5354073 5656563 6543867 6742166 10113249 10708146 11313126 13087734 16969689 19631601 20226498 30339747 33939378 37081913 39263202 58894803 60679494 74163826 91019241 111245739 117789606 182038482 222491478 333737217 667474434 1001211651 2002423302