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2302420432 = 2413172922453
BaseRepresentation
bin1000100100111100…
…0010010111010000
312221110102002001211
42021033002113100
514203404423212
61020244505504
7111025152004
oct21117022720
95843362054
102302420432
11a81724604
125430ab294
132a9011a70
1417badc704
15d71ed9a7
hex893c25d0

2302420432 has 80 divisors (see below), whose sum is σ = 5262319440. Its totient is φ = 965615616.

The previous prime is 2302420411. The next prime is 2302420441. The reversal of 2302420432 is 2340242032.

It can be written as a sum of positive squares in 8 ways, for example, as 154654096 + 2147766336 = 12436^2 + 46344^2 .

It is a super-2 number, since 2×23024204322 = 10602279691382133248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91318 + ... + 113770.

It is an arithmetic number, because the mean of its divisors is an integer number (65778993).

Almost surely, 22302420432 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 2302420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631159720).

2302420432 is an abundant number, since it is smaller than the sum of its proper divisors (2959899008).

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

2302420432 is a wasteful number, since it uses less digits than its factorization.

2302420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520 (or 22514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2302420432 is about 47983.5433456096. The cubic root of 2302420432 is about 1320.4690007745.

Adding to 2302420432 its reverse (2340242032), we get a palindrome (4642662464).

The spelling of 2302420432 in words is "two billion, three hundred two million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 58 68 104 116 136 208 221 232 272 377 442 464 493 754 884 986 1508 1768 1972 3016 3536 3944 6032 6409 7888 12818 22453 25636 44906 51272 89812 102544 179624 291889 359248 381701 583778 651137 763402 1167556 1302274 1526804 2335112 2604548 3053608 4670224 4962113 5209096 6107216 8464781 9924226 10418192 11069329 16929562 19848452 22138658 33859124 39696904 44277316 67718248 79393808 88554632 135436496 143901277 177109264 287802554 575605108 1151210216 2302420432