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424225360100 = 225261233298477
BaseRepresentation
bin1100010110001011100…
…11010100100011100100
31111112222222212011122002
412023011303110203210
523422303143010400
6522515245424432
742435462031013
oct6130563244344
91445888764562
10424225360100
11153a05179a63
126a27426b118
1331009530a49
1416765702a7a
15b07d5a2ed5
hex62c5cd48e4

424225360100 has 72 divisors (see below), whose sum is σ = 939679184808. Its totient is φ = 166191436800.

The previous prime is 424225360067. The next prime is 424225360157. The reversal of 424225360100 is 1063522424.

It can be written as a sum of positive squares in 12 ways, for example, as 150353164516 + 273872195584 = 387754^2 + 523328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272062 + ... + 1570538.

It is an arithmetic number, because the mean of its divisors is an integer number (13051099789).

Almost surely, 2424225360100 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 424225360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469839592404).

424225360100 is an abundant number, since it is smaller than the sum of its proper divisors (515453824708).

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

424225360100 is a wasteful number, since it uses less digits than its factorization.

424225360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298785 (or 298778 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 424225360100 its reverse (1063522424), we get a palindrome (425288882524).

The spelling of 424225360100 in words is "four hundred twenty-four billion, two hundred twenty-five million, three hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 233 244 305 466 610 932 1165 1220 1525 2330 3050 4660 5825 6100 11650 14213 23300 28426 56852 71065 142130 284260 298477 355325 596954 710650 1193908 1421300 1492385 2984770 5969540 7461925 14923850 18207097 29847700 36414194 69545141 72828388 91035485 139090282 182070970 278180564 347725705 364141940 455177425 695451410 910354850 1390902820 1738628525 1820709700 3477257050 4242253601 6954514100 8484507202 16969014404 21211268005 42422536010 84845072020 106056340025 212112680050 424225360100