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1225312200 = 2332527313137
BaseRepresentation
bin100100100001000…
…1100011111001000
310011101122022100100
41021002030133020
510002134442300
6321330405400
742235660530
oct11102143710
93141568310
101225312200
11579725212
122a2430860
13166b17808
14b8a3c4c0
157288a700
hex4908c7c8

1225312200 has 288 divisors, whose sum is σ = 4856117760. Its totient is φ = 270950400.

The previous prime is 1225312163. The next prime is 1225312211. The reversal of 1225312200 is 22135221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389032 + ... + 392168.

It is an arithmetic number, because the mean of its divisors is an integer number (16861520).

Almost surely, 21225312200 is an apocalyptic number.

1225312200 is a gapful number since it is divisible by the number (10) 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 1225312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428058880).

1225312200 is an abundant number, since it is smaller than the sum of its proper divisors (3630805560).

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

1225312200 is a wasteful number, since it uses less digits than its factorization.

1225312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1225312200 is about 35004.4597158705. The cubic root of 1225312200 is about 1070.0783708282.

Adding to 1225312200 its reverse (22135221), we get a palindrome (1247447421).

The spelling of 1225312200 in words is "one billion, two hundred twenty-five million, three hundred twelve thousand, two hundred".