Search a number
-
+
22111220202000 = 2435337535213607
BaseRepresentation
bin1010000011100001010110…
…11011001111101000010000
32220021210220221202000110120
411001300223123033220100
510344232234332431000
6115005430534030240
74441324435445436
oct501605333175020
986253827660416
1022111220202000
117055352402836
122591376aa8380
13c45104a90807
1456628dd9cd56
1528526c1376a0
hex141c2b6cfa10

22111220202000 has 640 divisors, whose sum is σ = 74758516005888. Its totient is φ = 5616359424000.

The previous prime is 22111220201969. The next prime is 22111220202031. The reversal of 22111220202000 is 20202211122.

It is an interprime number because it is at equal distance from previous prime (22111220201969) and next prime (22111220202031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6130084197 + ... + 6130087803.

Almost surely, 222111220202000 is an apocalyptic number.

22111220202000 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 22111220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37379258002944).

22111220202000 is an abundant number, since it is smaller than the sum of its proper divisors (52647295803888).

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

22111220202000 is a wasteful number, since it uses less digits than its factorization.

22111220202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22111220202000 its reverse (20202211122), we get a palindrome (22131422413122).

The spelling of 22111220202000 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty million, two hundred two thousand".