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1225132152 = 233314140163
BaseRepresentation
bin100100100000110…
…0000100001111000
310011101022011100220
41021001200201320
510002113212102
6321322500040
742234310566
oct11101404170
93141264326
101225132152
11579611a12
122a2364620
13166a8388a
14b89d2a36
15728521bc
hex49060878

1225132152 has 64 divisors (see below), whose sum is σ = 3238824960. Its totient is φ = 385555200.

The previous prime is 1225132151. The next prime is 1225132169. The reversal of 1225132152 is 2512315221.

It is a super-2 number, since 2×12251321522 = 3001897579728302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225132151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10423 + ... + 50585.

It is an arithmetic number, because the mean of its divisors is an integer number (50606640).

Almost surely, 21225132152 is an apocalyptic number.

1225132152 is a gapful number since it is divisible by the number (12) 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 1225132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619412480).

1225132152 is an abundant number, since it is smaller than the sum of its proper divisors (2013692808).

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

1225132152 is a wasteful number, since it uses less digits than its factorization.

1225132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40244 (or 40240 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 1225132152 is about 35001.8878348011. The cubic root of 1225132152 is about 1070.0259556402.

Adding to 1225132152 its reverse (2512315221), we get a palindrome (3737447373).

The spelling of 1225132152 in words is "one billion, two hundred twenty-five million, one hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 984 1271 2542 3813 5084 7626 10168 15252 30504 40163 80326 120489 160652 240978 321304 481956 963912 1245053 1646683 2490106 3293366 3735159 4940049 4980212 6586732 7470318 9880098 9960424 13173464 14940636 19760196 29881272 39520392 51047173 102094346 153141519 204188692 306283038 408377384 612566076 1225132152