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2194875408 = 2431114292909
BaseRepresentation
bin1000001011010011…
…0010010000010000
312122222001020000210
42002310302100100
513443342003113
61001443444120
7105251063445
oct20264622020
95588036023
102194875408
11a26a4a420
12513086640
1328c958c5b
1416b7059cc
15cca586c3
hex82d32410

2194875408 has 80 divisors (see below), whose sum is σ = 6192014400. Its totient is φ = 664419840.

The previous prime is 2194875401. The next prime is 2194875413. The reversal of 2194875408 is 8045784912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2194875401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753058 + ... + 755966.

It is an arithmetic number, because the mean of its divisors is an integer number (77400180).

Almost surely, 22194875408 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 2194875408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096007200).

2194875408 is an abundant number, since it is smaller than the sum of its proper divisors (3997138992).

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

2194875408 is a wasteful number, since it uses less digits than its factorization.

2194875408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 2194875408 is about 46849.4974145935. The cubic root of 2194875408 is about 1299.5808131706.

The spelling of 2194875408 in words is "two billion, one hundred ninety-four million, eight hundred seventy-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1429 2858 2909 4287 5716 5818 8574 8727 11432 11636 15719 17148 17454 22864 23272 31438 31999 34296 34908 46544 47157 62876 63998 68592 69816 94314 95997 125752 127996 139632 188628 191994 251504 255992 377256 383988 511984 754512 767976 1535952 4156961 8313922 12470883 16627844 24941766 33255688 45726571 49883532 66511376 91453142 99767064 137179713 182906284 199534128 274359426 365812568 548718852 731625136 1097437704 2194875408