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21828996 = 22327292103
BaseRepresentation
bin101001101000…
…1010110000100
31112002000202100
41103101112010
521042011441
62055512100
7353354250
oct123212604
945060670
1021828996
111135a4a2
127388630
1346a3a87
142c83260
151db2cb6
hex14d1584

21828996 has 108 divisors (see below), whose sum is σ = 65945152. Its totient is φ = 5963328.

The previous prime is 21828973. The next prime is 21829091. The reversal of 21828996 is 69982812.

Its product of digits (124416) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211881 + ... + 211983.

Almost surely, 221828996 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 21828996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32972576).

21828996 is an abundant number, since it is smaller than the sum of its proper divisors (44116156).

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

21828996 is a wasteful number, since it uses less digits than its factorization.

21828996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 21828996 is about 4672.1511105699. The cubic root of 21828996 is about 279.4760439570.

The spelling of 21828996 in words is "twenty-one million, eight hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 103 116 126 174 203 206 252 261 309 348 406 412 522 609 618 721 812 841 927 1044 1218 1236 1442 1682 1827 1854 2163 2436 2523 2884 2987 3364 3654 3708 4326 5046 5887 5974 6489 7308 7569 8652 8961 10092 11774 11948 12978 15138 17661 17922 20909 23548 25956 26883 30276 35322 35844 41818 52983 53766 62727 70644 83636 86623 105966 107532 125454 173246 188181 211932 250908 259869 346492 376362 519738 606361 752724 779607 1039476 1212722 1559214 1819083 2425444 3118428 3638166 5457249 7276332 10914498 21828996