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21797468 = 227111723181
BaseRepresentation
bin101001100100…
…1101001011100
31112000102111122
41103021221130
521040004333
62055110112
7353163320
oct123115134
945012448
1021797468
1111338840
127372338
134692614
142c75980
151da8798
hex14c9a5c

21797468 has 96 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 7603200.

The previous prime is 21797467. The next prime is 21797507. The reversal of 21797468 is 86479712.

It is a super-2 number, since 2×217974682 = 950259222422048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21797467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120338 + ... + 120518.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 221797468 is an apocalyptic number.

21797468 is a gapful number since it is divisible by the number (28) 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 21797468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

21797468 is an abundant number, since it is smaller than the sum of its proper divisors (31037860).

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

21797468 is a wasteful number, since it uses less digits than its factorization.

21797468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 21797468 is about 4668.7758566888. The cubic root of 21797468 is about 279.3414284173.

The spelling of 21797468 in words is "twenty-one million, seven hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 68 77 92 119 154 161 181 187 238 253 308 322 362 374 391 476 506 644 724 748 782 1012 1267 1309 1564 1771 1991 2534 2618 2737 3077 3542 3982 4163 4301 5068 5236 5474 6154 7084 7964 8326 8602 10948 12308 13937 16652 17204 21539 27874 29141 30107 33847 43078 45793 55748 58282 60214 67694 70771 86156 91586 116564 120428 135388 141542 183172 236929 283084 320551 473858 495397 641102 778481 947716 990794 1282204 1556962 1981588 3113924 5449367 10898734 21797468