Search a number
-
+
222100112002020 = 223572347461472249
BaseRepresentation
bin110010011111111110110110…
…010001111100101111100100
31002010101120012200100001022220
4302133332312101330233210
5213102342012133031040
62104211214412152340
764532126551663500
oct6237766621745744
91063346180301286
10222100112002020
116484a1460a601a
1220ab05a61686b0
1396c0c488a00a5
143cbb9ba5c9300
151aa2500db32d0
hexc9ffb647cbe4

222100112002020 has 288 divisors, whose sum is σ = 727071838416000. Its totient is φ = 50509530408960.

The previous prime is 222100112001923. The next prime is 222100112002051. The reversal of 222100112002020 is 20200211001222.

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 95 ways as a sum of consecutive naturals, for example, 470066856 + ... + 470539104.

It is an arithmetic number, because the mean of its divisors is an integer number (2524554994500).

Almost surely, 2222100112002020 is an apocalyptic number.

222100112002020 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 222100112002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363535919208000).

222100112002020 is an abundant number, since it is smaller than the sum of its proper divisors (504971726413980).

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

222100112002020 is a wasteful number, since it uses less digits than its factorization.

222100112002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473083 (or 473074 counting only the distinct ones).

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

Adding to 222100112002020 its reverse (20200211001222), we get a palindrome (242300323003242).

The spelling of 222100112002020 in words is "two hundred twenty-two trillion, one hundred billion, one hundred twelve million, two thousand, twenty".