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2211342012 = 2233119971867
BaseRepresentation
bin1000001111001110…
…0110011010111100
312201010000210222000
42003303212122330
514012100421022
61003232422300
7105541045155
oct20363463274
95633023860
102211342012
11a35276a90
125186a7990
132931a2cc9
1416d99092c
15ce20c6ac
hex83ce66bc

2211342012 has 96 divisors (see below), whose sum is σ = 6263927040. Its totient is φ = 669072960.

The previous prime is 2211341987. The next prime is 2211342019. The reversal of 2211342012 is 2102431122.

It is a happy number.

2211342012 is a `hidden beast` number, since 221 + 13 + 420 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211342019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183503 + ... + 1185369.

It is an arithmetic number, because the mean of its divisors is an integer number (65249240).

Almost surely, 22211342012 is an apocalyptic number.

2211342012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131963520).

2211342012 is an abundant number, since it is smaller than the sum of its proper divisors (4052585028).

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

2211342012 is a wasteful number, since it uses less digits than its factorization.

2211342012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2211342012 is about 47024.9084209635. The cubic root of 2211342012 is about 1302.8226659728.

Adding to 2211342012 its reverse (2102431122), we get a palindrome (4313773134).

The spelling of 2211342012 in words is "two billion, two hundred eleven million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 997 1188 1867 1994 2991 3734 3988 5601 5982 7468 8973 10967 11202 11964 16803 17946 20537 21934 22404 26919 32901 33606 35892 41074 43868 50409 53838 61611 65802 67212 82148 98703 100818 107676 123222 131604 184833 197406 201636 246444 296109 369666 394812 554499 592218 739332 1108998 1184436 1861399 2217996 3722798 5584197 7445596 11168394 16752591 20475389 22336788 33505182 40950778 50257773 61426167 67010364 81901556 100515546 122852334 184278501 201031092 245704668 368557002 552835503 737114004 1105671006 2211342012