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1225198464 = 27373797127
BaseRepresentation
bin100100100000111…
…0000101110000000
310011101102112022220
41021001300232000
510002122322324
6321324131040
742235005120
oct11101605600
93141375286
101225198464
11579657816
122a2396a80
13166aa7b09
14b8a0cc80
1572866b79
hex49070b80

1225198464 has 256 divisors, whose sum is σ = 3889643520. Its totient is φ = 334430208.

The previous prime is 1225198463. The next prime is 1225198487. The reversal of 1225198464 is 4648915221.

It is a super-2 number, since 2×12251984642 = 3002222552375918592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225198463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9647169 + ... + 9647295.

It is an arithmetic number, because the mean of its divisors is an integer number (15193920).

Almost surely, 21225198464 is an apocalyptic number.

1225198464 is a gapful number since it is divisible by the number (14) 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 1225198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944821760).

1225198464 is an abundant number, since it is smaller than the sum of its proper divisors (2664445056).

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

1225198464 is a wasteful number, since it uses less digits than its factorization.

1225198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1225198464 is about 35002.8350851756. The cubic root of 1225198464 is about 1070.0452608449.

The spelling of 1225198464 in words is "one billion, two hundred twenty-five million, one hundred ninety-eight thousand, four hundred sixty-four".