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2290650414 = 2313172307331
BaseRepresentation
bin1000100010001000…
…1000110100101110
312220122021002122020
42020202020310232
514142401303124
61015144331010
7110523131043
oct21042106456
95818232566
102290650414
11a76015618
1253b173a66
132a6750660
1417a3171ca
15d6176379
hex88888d2e

2290650414 has 96 divisors (see below), whose sum is σ = 5273955456. Its totient is φ = 659197440.

The previous prime is 2290650409. The next prime is 2290650433. The reversal of 2290650414 is 4140560922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6920229 + ... + 6920559.

It is an arithmetic number, because the mean of its divisors is an integer number (54937036).

Almost surely, 22290650414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290650414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636977728).

2290650414 is an abundant number, since it is smaller than the sum of its proper divisors (2983305042).

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

2290650414 is a wasteful number, since it uses less digits than its factorization.

2290650414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2290650414 is about 47860.7397978761. The cubic root of 2290650414 is about 1318.2150679516.

The spelling of 2290650414 in words is "two billion, two hundred ninety million, six hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 307 331 442 578 614 662 663 867 921 993 1326 1734 1842 1986 3757 3991 4303 5219 5627 7514 7982 8606 10438 11254 11271 11973 12909 15657 16881 22542 23946 25818 31314 33762 67847 73151 88723 95659 101617 135694 146302 177446 191318 203234 203541 219453 266169 286977 304851 407082 438906 532338 573954 609702 1153399 1243567 1321021 1727489 2306798 2487134 2642042 3454978 3460197 3730701 3963063 5182467 6920394 7461402 7926126 10364934 22457357 29367313 44914714 58734626 67372071 88101939 134744142 176203878 381775069 763550138 1145325207 2290650414