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1230424224 = 253316432
BaseRepresentation
bin100100101010110…
…1100100010100000
310011202021000201120
41021111230202200
510004442033344
6322032132240
742330301431
oct11125544240
93152230646
101230424224
115815a6a27
122a4097080
13167bb7593
14b95ad488
157304a219
hex4956c8a0

1230424224 has 72 divisors (see below), whose sum is σ = 3339245952. Its totient is φ = 396293760.

The previous prime is 1230424219. The next prime is 1230424243. The reversal of 1230424224 is 4224240321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1230424194 and 1230424203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1913247 + ... + 1913889.

It is an arithmetic number, because the mean of its divisors is an integer number (46378416).

Almost surely, 21230424224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669622976).

1230424224 is an abundant number, since it is smaller than the sum of its proper divisors (2108821728).

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

1230424224 is an frugal number, since it uses more digits than its factorization.

1230424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1230424224 is about 35077.4033246476. The cubic root of 1230424224 is about 1071.5644346923.

Adding to 1230424224 its reverse (4224240321), we get a palindrome (5454664545).

The spelling of 1230424224 in words is "one billion, two hundred thirty million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 643 744 992 1286 1488 1929 2572 2976 3858 5144 7716 10288 15432 19933 20576 30864 39866 59799 61728 79732 119598 159464 239196 318928 413449 478392 637856 826898 956784 1240347 1653796 1913568 2480694 3307592 4961388 6615184 9922776 12816919 13230368 19845552 25633838 38450757 39691104 51267676 76901514 102535352 153803028 205070704 307606056 410141408 615212112 1230424224