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2722107132 = 2232237734253
BaseRepresentation
bin1010001001000000…
…0000111011111100
321000201010100222200
42202100000323330
521033324412012
61130040111500
7124312346253
oct24220007374
97021110880
102722107132
111177616418
1263b765590
13344c56ca4
141bb74979a
1510dea03dc
hexa2400efc

2722107132 has 72 divisors (see below), whose sum is σ = 7191029664. Its totient is φ = 866591616.

The previous prime is 2722107107. The next prime is 2722107139. The reversal of 2722107132 is 2317012272.

It is a junction number, because it is equal to n+sod(n) for n = 2722107096 and 2722107105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722107139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637918 + ... + 642170.

It is an arithmetic number, because the mean of its divisors is an integer number (99875412).

Almost surely, 22722107132 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 2722107132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595514832).

2722107132 is an abundant number, since it is smaller than the sum of its proper divisors (4468922532).

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

2722107132 is a wasteful number, since it uses less digits than its factorization.

2722107132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2722107132 is about 52173.8165366499. The cubic root of 2722107132 is about 1396.2667770108.

The spelling of 2722107132 in words is "two billion, seven hundred twenty-two million, one hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 773 828 1546 2319 3092 4253 4638 6957 8506 9276 12759 13914 17012 17779 25518 27828 35558 38277 51036 53337 71116 76554 97819 106674 153108 160011 195638 213348 293457 320022 391276 586914 640044 880371 1173828 1760742 3287569 3521484 6575138 9862707 13150276 19725414 29588121 39450828 59176242 75614087 118352484 151228174 226842261 302456348 453684522 680526783 907369044 1361053566 2722107132