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1225531152 = 243219942767
BaseRepresentation
bin100100100001100…
…0001111100010000
310011102001102200200
41021003001330100
510002213444102
6321335215200
742240562056
oct11103017420
93142042620
101225531152
1157986476a
122a2517500
13166b93381
14b8a981d6
15728d051c
hex490c1f10

1225531152 has 60 divisors (see below), whose sum is σ = 3447100800. Its totient is φ = 406448064.

The previous prime is 1225531147. The next prime is 1225531189. The reversal of 1225531152 is 2511355221.

1225531152 is a `hidden beast` number, since 122 + 5 + 531 + 1 + 5 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7273 + ... + 50039.

It is an arithmetic number, because the mean of its divisors is an integer number (57451680).

Almost surely, 21225531152 is an apocalyptic number.

1225531152 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 1225531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723550400).

1225531152 is an abundant number, since it is smaller than the sum of its proper divisors (2221569648).

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

1225531152 is a wasteful number, since it uses less digits than its factorization.

1225531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42980 (or 42971 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 1225531152 is about 35007.5870633781. The cubic root of 1225531152 is about 1070.1421047472.

Adding to 1225531152 its reverse (2511355221), we get a palindrome (3736886373).

The spelling of 1225531152 in words is "one billion, two hundred twenty-five million, five hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4776 7164 9552 14328 28656 42767 85534 128301 171068 256602 342136 384903 513204 684272 769806 1026408 1539612 2052816 3079224 6158448 8510633 17021266 25531899 34042532 51063798 68085064 76595697 102127596 136170128 153191394 204255192 306382788 408510384 612765576 1225531152