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2822103396 = 2233723915619
BaseRepresentation
bin1010100000110101…
…1110000101100100
321021200021201002000
42220031132011210
521234424302041
61144011245300
7126635324460
oct25015360544
97250251060
102822103396
111219005062
12669149830
1335c898b88
141cab394a0
15117b53bb6
hexa835e164

2822103396 has 96 divisors (see below), whose sum is σ = 8397312000. Its totient is φ = 802890144.

The previous prime is 2822103367. The next prime is 2822103397. The reversal of 2822103396 is 6933012282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2822103396.

It is not an unprimeable number, because it can be changed into a prime (2822103397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172875 + ... + 188493.

It is an arithmetic number, because the mean of its divisors is an integer number (87472000).

Almost surely, 22822103396 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 2822103396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198656000).

2822103396 is an abundant number, since it is smaller than the sum of its proper divisors (5575208604).

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

2822103396 is a wasteful number, since it uses less digits than its factorization.

2822103396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15878 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2822103396 is about 53123.4731168812. The cubic root of 2822103396 is about 1413.1588211361.

The spelling of 2822103396 in words is "two billion, eight hundred twenty-two million, one hundred three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 239 252 378 478 717 756 956 1434 1673 2151 2868 3346 4302 5019 6453 6692 8604 10038 12906 15057 15619 20076 25812 30114 31238 45171 46857 60228 62476 90342 93714 109333 140571 180684 187428 218666 281142 327999 421713 437332 562284 655998 843426 983997 1311996 1686852 1967994 2951991 3732941 3935988 5903982 7465882 11198823 11807964 14931764 22397646 26130587 33596469 44795292 52261174 67192938 78391761 100789407 104522348 134385876 156783522 201578814 235175283 313567044 403157628 470350566 705525849 940701132 1411051698 2822103396