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225155224200 = 233521516413877
BaseRepresentation
bin1101000110110001001…
…1000001001010001000
3210112011110021110212210
43101230103001022020
512142104214133300
6251233533505120
722160361554034
oct3215423011210
9715143243783
10225155224200
1187540288495
12377780421a0
1318302a6341a
14ac7cd131c4
155ccbaa9050
hex346c4c1288

225155224200 has 192 divisors, whose sum is σ = 703881198720. Its totient is φ = 59535360000.

The previous prime is 225155224199. The next prime is 225155224207. The reversal of 225155224200 is 2422551522.

225155224200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (225155224207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58072662 + ... + 58076538.

It is an arithmetic number, because the mean of its divisors is an integer number (3666047910).

Almost surely, 2225155224200 is an apocalyptic number.

225155224200 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 225155224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351940599360).

225155224200 is an abundant number, since it is smaller than the sum of its proper divisors (478725974520).

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

225155224200 is a wasteful number, since it uses less digits than its factorization.

225155224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 225155224200 its reverse (2422551522), we get a palindrome (227577775722).

The spelling of 225155224200 in words is "two hundred twenty-five billion, one hundred fifty-five million, two hundred twenty-four thousand, two hundred".