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1225012700 = 225247713671
BaseRepresentation
bin100100100000100…
…0011010111011100
310011101002002111202
41021001003113130
510002100401300
6321320135032
742233302412
oct11101032734
93141062452
101225012700
1157954019a
122a2307478
13166a413b2
14b89a12b2
157282bad5
hex490435dc

1225012700 has 72 divisors (see below), whose sum is σ = 2753823744. Its totient is φ = 472696000.

The previous prime is 1225012667. The next prime is 1225012703. The reversal of 1225012700 is 72105221.

It is a super-2 number, since 2×12250127002 = 3001312230322580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225012703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331865 + ... + 335535.

It is an arithmetic number, because the mean of its divisors is an integer number (38247552).

Almost surely, 21225012700 is an apocalyptic number.

1225012700 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 1225012700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376911872).

1225012700 is an abundant number, since it is smaller than the sum of its proper divisors (1528811044).

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

1225012700 is a wasteful number, since it uses less digits than its factorization.

1225012700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1225012700 is about 35000.1814281012. The cubic root of 1225012700 is about 1069.9911781961.

Adding to 1225012700 its reverse (72105221), we get a palindrome (1297117921).

The spelling of 1225012700 in words is "one billion, two hundred twenty-five million, twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 71 94 100 142 188 235 284 355 470 710 940 1175 1420 1775 2350 3337 3550 3671 4700 6674 7100 7342 13348 14684 16685 18355 33370 36710 66740 73420 83425 91775 166850 172537 183550 260641 333700 345074 367100 521282 690148 862685 1042564 1303205 1725370 2606410 3450740 4313425 5212820 6516025 8626850 12250127 13032050 17253700 24500254 26064100 49000508 61250635 122501270 245002540 306253175 612506350 1225012700