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114223422222032 = 2423835477682789
BaseRepresentation
bin11001111110001010110110…
…100000011010111011010000
3112222102122121200120022212112
4121332022312200122323100
5104432414032042101112
61042533303223244452
733026240612213414
oct3176126640327320
9488378550508775
10114223422222032
1133438977056052
1210989320ba9728
134b972b7a9a426
14202c62bd5ad44
15d31330054a22
hex67e2b681aed0

114223422222032 has 80 divisors (see below), whose sum is σ = 233755264955520. Its totient is φ = 53960484374016.

The previous prime is 114223422222031. The next prime is 114223422222037. The reversal of 114223422222032 is 230222224322411.

It is a super-2 number, since 2×1142234222220322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114223422222032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223422222031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166948094 + ... + 167630882.

It is an arithmetic number, because the mean of its divisors is an integer number (2921940811944).

Almost surely, 2114223422222032 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 114223422222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116877632477760).

114223422222032 is an abundant number, since it is smaller than the sum of its proper divisors (119531842733488).

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

114223422222032 is a wasteful number, since it uses less digits than its factorization.

114223422222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688380 (or 688374 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114223422222032 its reverse (230222224322411), we get a palindrome (344445646544443).

The spelling of 114223422222032 in words is "one hundred fourteen trillion, two hundred twenty-three billion, four hundred twenty-two million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 664 1328 1909 3818 5477 7636 10954 15272 21908 30544 43816 87632 125971 251942 454591 503884 682789 909182 1007768 1365578 1818364 2015536 2731156 3636728 5462312 7273456 10455593 10924624 15704147 20911186 31408294 41822372 56671487 62816588 83644744 113342974 125633176 167289488 226685948 251266352 453371896 906743792 1303444201 2606888402 3739635353 5213776804 7479270706 10427553608 14958541412 20855107216 29917082824 59834165648 86011613119 172023226238 310389734299 344046452476 620779468598 688092904952 1241558937196 1376185809904 2483117874392 4966235748784 7138963888877 14277927777754 28555855555508 57111711111016 114223422222032