Search a number
-
+
12213471700 = 22521947136769
BaseRepresentation
bin10110101111111101…
…01100100111010100
31011112011210122110201
423113332230213110
5200003122043300
65335533030244
7611442540133
oct132776544724
934464718421
1012213471700
1151a8206071
12244a325384
1311c8457941
1483c10991a
154b738b66a
hex2d7fac9d4

12213471700 has 72 divisors (see below), whose sum is σ = 28491926400. Its totient is φ = 4529756160.

The previous prime is 12213471689. The next prime is 12213471709. The reversal of 12213471700 is 717431221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213471709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20916 + ... + 157684.

It is an arithmetic number, because the mean of its divisors is an integer number (395721200).

Almost surely, 212213471700 is an apocalyptic number.

12213471700 is a gapful number since it is divisible by the number (10) 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 12213471700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245963200).

12213471700 is an abundant number, since it is smaller than the sum of its proper divisors (16278454700).

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

12213471700 is a wasteful number, since it uses less digits than its factorization.

12213471700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136849 (or 136842 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 12213471700 in words is "twelve billion, two hundred thirteen million, four hundred seventy-one thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 893 940 950 1175 1786 1900 2350 3572 4465 4700 8930 17860 22325 44650 89300 136769 273538 547076 683845 1367690 2598611 2735380 3419225 5197222 6428143 6838450 10394444 12856286 12993055 13676900 25712572 25986110 32140715 51972220 64281430 64965275 122134717 128562860 129930550 160703575 244269434 259861100 321407150 488538868 610673585 642814300 1221347170 2442694340 3053367925 6106735850 12213471700