Search a number
-
+
22202124141120 = 2635711401749011
BaseRepresentation
bin1010000110001010101011…
…01110010000001001000000
32220121111120012112120221120
411003011111232100021000
510402224422240003440
6115115303124552240
74451023222255140
oct503052556201100
986544505476846
1022202124141120
11708a9602a6750
1225a6b06552680
13c50860c583c1
1456a834d60920
152877dca1cdd0
hex143155b90240

22202124141120 has 448 divisors, whose sum is σ = 88105095124992. Its totient is φ = 4601917440000.

The previous prime is 22202124141091. The next prime is 22202124141137. The reversal of 22202124141120 is 2114142120222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29267415 + ... + 30016425.

Almost surely, 222202124141120 is an apocalyptic number.

22202124141120 is a gapful number since it is divisible by the number (20) 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 22202124141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44052547562496).

22202124141120 is an abundant number, since it is smaller than the sum of its proper divisors (65902970983872).

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

22202124141120 is a wasteful number, since it uses less digits than its factorization.

22202124141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749450 (or 749440 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22202124141120 its reverse (2114142120222), we get a palindrome (24316266261342).

The spelling of 22202124141120 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-four million, one hundred forty-one thousand, one hundred twenty".