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2297002840 = 235116737757
BaseRepresentation
bin1000100011101001…
…0111101101011000
312221002012211112021
42020322113231120
514201013042330
61015532424224
7110631126166
oct21072275530
95832184467
102297002840
11a79664260
12541318074
132a7b65ba2
1417b0cc236
15d69cd67a
hex88e97b58

2297002840 has 64 divisors (see below), whose sum is σ = 5647203360. Its totient is φ = 833925120.

The previous prime is 2297002837. The next prime is 2297002859. The reversal of 2297002840 is 482007922.

2297002840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2297002796 and 2297002805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292242 + ... + 299998.

Almost surely, 22297002840 is an apocalyptic number.

2297002840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297002840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823601680).

2297002840 is an abundant number, since it is smaller than the sum of its proper divisors (3350200520).

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

2297002840 is a wasteful number, since it uses less digits than its factorization.

2297002840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2297002840 is about 47927.0574936538. The cubic root of 2297002840 is about 1319.4325001608.

The spelling of 2297002840 in words is "two billion, two hundred ninety-seven million, two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 673 1346 2692 3365 5384 6730 7403 7757 13460 14806 15514 26920 29612 31028 37015 38785 59224 62056 74030 77570 85327 148060 155140 170654 296120 310280 341308 426635 682616 853270 1706540 3413080 5220461 10440922 20881844 26102305 41763688 52204610 57425071 104409220 114850142 208818440 229700284 287125355 459400568 574250710 1148501420 2297002840