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21133200224 = 251968350891
BaseRepresentation
bin10011101011101000…
…110000101101100000
32000112210211210201102
4103223220300231200
5321240044401344
613413005453532
71345462144433
oct235350605540
960483753642
1021133200224
118a65160134
1241195712a8
131cba3b1106
1410469c781a
1583a4ade4e
hex4eba30b60

21133200224 has 48 divisors (see below), whose sum is σ = 43860761280. Its totient is φ = 9995610240.

The previous prime is 21133200199. The next prime is 21133200287. The reversal of 21133200224 is 42200233112.

It is a super-2 number, since 2×211332002242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21133200196 and 21133200205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389819 + ... + 440709.

It is an arithmetic number, because the mean of its divisors is an integer number (913765860).

Almost surely, 221133200224 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 21133200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930380640).

21133200224 is an abundant number, since it is smaller than the sum of its proper divisors (22727561056).

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

21133200224 is a wasteful number, since it uses less digits than its factorization.

21133200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51603 (or 51595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21133200224 its reverse (42200233112), we get a palindrome (63333433336).

The spelling of 21133200224 in words is "twenty-one billion, one hundred thirty-three million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 683 1366 2732 5464 10928 12977 21856 25954 50891 51908 101782 103816 203564 207632 407128 415264 814256 966929 1628512 1933858 3867716 7735432 15470864 30941728 34758553 69517106 139034212 278068424 556136848 660412507 1112273696 1320825014 2641650028 5283300056 10566600112 21133200224