Search a number
-
+
1225388736 = 263511131929
BaseRepresentation
bin100100100001001…
…1111001011000000
310011101210012100000
41021002133023000
510002144414421
6321332200000
742236426625
oct11102371300
93141705300
101225388736
11579777770
122a2469000
13166b435c0
14b8a5c34c
15728a3226
hex4909f2c0

1225388736 has 672 divisors, whose sum is σ = 4659782400. Its totient is φ = 313528320.

The previous prime is 1225388729. The next prime is 1225388737. The reversal of 1225388736 is 6378835221.

1225388736 is a `hidden beast` number, since 1 + 2 + 2 + 538 + 87 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1225388691 and 1225388700.

It is not an unprimeable number, because it can be changed into a prime (1225388737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42254770 + ... + 42254798.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 21225388736 is an apocalyptic number.

1225388736 is a gapful number since it is divisible by the number (16) 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 1225388736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329891200).

1225388736 is an abundant number, since it is smaller than the sum of its proper divisors (3434393664).

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

1225388736 is a wasteful number, since it uses less digits than its factorization.

1225388736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1225388736 is about 35005.5529309280. The cubic root of 1225388736 is about 1070.1006502694.

The spelling of 1225388736 in words is "one billion, two hundred twenty-five million, three hundred eighty-eight thousand, seven hundred thirty-six".