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21213348 = 223131719421
BaseRepresentation
bin101000011101…
…1000010100100
31110220202020120
41100323002210
520412311343
62034401540
7345211332
oct120730244
943822216
1021213348
1110a799a2
1271302b0
1345197a0
142b62b52
151ce0683
hex143b0a4

21213348 has 96 divisors (see below), whose sum is σ = 59552640. Its totient is φ = 5806080.

The previous prime is 21213347. The next prime is 21213349. The reversal of 21213348 is 84331212.

It is an interprime number because it is at equal distance from previous prime (21213347) and next prime (21213349).

It is a super-2 number, since 2×212133482 = 900012266738208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21213341) 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, 50178 + ... + 50598.

It is an arithmetic number, because the mean of its divisors is an integer number (620340).

Almost surely, 221213348 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 21213348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29776320).

21213348 is an abundant number, since it is smaller than the sum of its proper divisors (38339292).

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

21213348 is a wasteful number, since it uses less digits than its factorization.

21213348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 21213348 is about 4605.7950453749. The cubic root of 21213348 is about 276.8235744843.

The spelling of 21213348 in words is "twenty-one million, two hundred thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 421 442 494 646 663 741 842 884 969 988 1263 1292 1326 1482 1684 1938 2526 2652 2964 3876 4199 5052 5473 7157 7999 8398 10946 12597 14314 15998 16419 16796 21471 21892 23997 25194 28628 31996 32838 42942 47994 50388 65676 85884 93041 95988 103987 135983 186082 207974 271966 279123 311961 372164 407949 415948 543932 558246 623922 815898 1116492 1247844 1631796 1767779 3535558 5303337 7071116 10606674 21213348