Search a number
-
+
2422225315200 = 273521731458469
BaseRepresentation
bin100011001111110111111…
…000010010010110000000
322120120012001021012210010
4203033313320102112000
5304141204140041300
65052431022504520
7340000000316265
oct43176770222600
98516161235703
102422225315200
11854295052479
1233153a435140
131475516034a2
14853446c526c
154301abaea50
hex233f7e12580

2422225315200 has 192 divisors, whose sum is σ = 8024326923600. Its totient is φ = 642192629760.

The previous prime is 2422225315193. The next prime is 2422225315217. The reversal of 2422225315200 is 25135222242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931566 + ... + 2390034.

Almost surely, 22422225315200 is an apocalyptic number.

2422225315200 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 2422225315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012163461800).

2422225315200 is an abundant number, since it is smaller than the sum of its proper divisors (5602101608400).

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

2422225315200 is a wasteful number, since it uses less digits than its factorization.

2422225315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458669 (or 1458652 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2422225315200 in words is "two trillion, four hundred twenty-two billion, two hundred twenty-five million, three hundred fifteen thousand, two hundred".