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1225211200 = 26521941983
BaseRepresentation
bin100100100000111…
…0011110101000000
310011101110011210121
41021001303311000
510002123224300
6321324310024
742235060213
oct11101636500
93141404717
101225211200
11579666344
122a23a2314
13166ab0855
14b8a1377a
157286a81a
hex49073d40

1225211200 has 168 divisors, whose sum is σ = 3254166720. Its totient is φ = 452505600.

The previous prime is 1225211189. The next prime is 1225211203. The reversal of 1225211200 is 21125221.

It is a happy number.

It is a super-2 number, since 2×12252112002 = 3002284969210880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245909 + ... + 1246891.

It is an arithmetic number, because the mean of its divisors is an integer number (19370040).

Almost surely, 21225211200 is an apocalyptic number.

1225211200 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 1225211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627083360).

1225211200 is an abundant number, since it is smaller than the sum of its proper divisors (2028955520).

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

1225211200 is a wasteful number, since it uses less digits than its factorization.

1225211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1225211200 is about 35003.0170128233. The cubic root of 1225211200 is about 1070.0489685570.

Adding to 1225211200 its reverse (21125221), we get a palindrome (1246336421).

The spelling of 1225211200 in words is "one billion, two hundred twenty-five million, two hundred eleven thousand, two hundred".