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2166032550 = 2352114330529
BaseRepresentation
bin1000000100011011…
…0000100010100110
312120221202212001210
42001012300202212
513414001020200
6554533332250
7104450654463
oct20106604246
95527685053
102166032550
11a1173a350
12505497086
1328699a886
1416795866a
15ca25c650
hex811b08a6

2166032550 has 96 divisors (see below), whose sum is σ = 5996580480. Its totient is φ = 512870400.

The previous prime is 2166032489. The next prime is 2166032551. The reversal of 2166032550 is 552306612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166032551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55686 + ... + 86214.

It is an arithmetic number, because the mean of its divisors is an integer number (62464380).

Almost surely, 22166032550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166032550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998290240).

2166032550 is an abundant number, since it is smaller than the sum of its proper divisors (3830547930).

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

2166032550 is a wasteful number, since it uses less digits than its factorization.

2166032550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30598 (or 30593 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2166032550 is about 46540.6548084575. The cubic root of 2166032550 is about 1293.8630968366.

The spelling of 2166032550 in words is "two billion, one hundred sixty-six million, thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 43 50 55 66 75 86 110 129 150 165 215 258 275 330 430 473 550 645 825 946 1075 1290 1419 1650 2150 2365 2838 3225 4730 6450 7095 11825 14190 23650 30529 35475 61058 70950 91587 152645 183174 305290 335819 457935 671638 763225 915870 1007457 1312747 1526450 1679095 2014914 2289675 2625494 3358190 3938241 4579350 5037285 6563735 7876482 8395475 10074570 13127470 14440217 16790950 19691205 25186425 28880434 32818675 39382410 43320651 50372850 65637350 72201085 86641302 98456025 144402170 196912050 216603255 361005425 433206510 722010850 1083016275 2166032550