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2201214048 = 253116773079
BaseRepresentation
bin1000001100110011…
…1101110001100000
312200101222021000020
42003030331301200
514002002322143
61002231353440
7105356003445
oct20314756140
95611867006
102201214048
11a2a589770
12515222880
13291068127
1416c4b59cc
15cd3ab883
hex8333dc60

2201214048 has 96 divisors (see below), whose sum is σ = 6314837760. Its totient is φ = 665832960.

The previous prime is 2201214019. The next prime is 2201214061. The reversal of 2201214048 is 8404121022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22012140482 = 9690686570225092608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 713373 + ... + 716451.

It is an arithmetic number, because the mean of its divisors is an integer number (65779560).

Almost surely, 22201214048 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 2201214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157418880).

2201214048 is an abundant number, since it is smaller than the sum of its proper divisors (4113623712).

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

2201214048 is a wasteful number, since it uses less digits than its factorization.

2201214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2201214048 is about 46917.0976084412. The cubic root of 2201214048 is about 1300.8306423189.

The spelling of 2201214048 in words is "two billion, two hundred one million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 677 1056 1354 2031 2708 3079 4062 5416 6158 7447 8124 9237 10832 12316 14894 16248 18474 21664 22341 24632 29788 32496 33869 36948 44682 49264 59576 64992 67738 73896 89364 98528 101607 119152 135476 147792 178728 203214 238304 270952 295584 357456 406428 541904 714912 812856 1083808 1625712 2084483 3251424 4168966 6253449 8337932 12506898 16675864 22929313 25013796 33351728 45858626 50027592 66703456 68787939 91717252 100055184 137575878 183434504 200110368 275151756 366869008 550303512 733738016 1100607024 2201214048