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2200664376 = 233841927
BaseRepresentation
bin1000001100101011…
…0111100100111000
312200100221100000000
42003022313210320
514001332230001
61002211513000
7105351224061
oct20312674470
95610840000
102200664376
11a2a243799
12514bb8760
13290c04b91
1416c3b1568
15cd2eda86
hex832b7938

2200664376 has 72 divisors (see below), whose sum is σ = 6189201720. Its totient is φ = 733537296.

The previous prime is 2200664371. The next prime is 2200664387. The reversal of 2200664376 is 6734660022.

It is a happy number.

2200664376 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 6 + 643 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 2200664376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200664371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31525 + ... + 73451.

It is an arithmetic number, because the mean of its divisors is an integer number (85961135).

Almost surely, 22200664376 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 2200664376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094600860).

2200664376 is an abundant number, since it is smaller than the sum of its proper divisors (3988537344).

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

2200664376 is an frugal number, since it uses more digits than its factorization.

2200664376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41957 (or 41932 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2200664376 is about 46911.2393355793. The cubic root of 2200664376 is about 1300.7223551509.

The spelling of 2200664376 in words is "two billion, two hundred million, six hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 41927 52488 83854 125781 167708 251562 335416 377343 503124 754686 1006248 1132029 1509372 2264058 3018744 3396087 4528116 6792174 9056232 10188261 13584348 20376522 27168696 30564783 40753044 61129566 81506088 91694349 122259132 183388698 244518264 275083047 366777396 550166094 733554792 1100332188 2200664376