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22966328 = 23711231621
BaseRepresentation
bin101011110011…
…1000000111000
31121012210212202
41113213000320
521334410303
62140125332
7366132140
oct127470070
947183782
1022966328
1111a66a40
127836848
1349b1658
14309b920
152039c88
hex15e7038

22966328 has 64 divisors (see below), whose sum is σ = 56056320. Its totient is φ = 8553600.

The previous prime is 22966313. The next prime is 22966357. The reversal of 22966328 is 82366922.

It is a junction number, because it is equal to n+sod(n) for n = 22966291 and 22966300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13358 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (875880).

Almost surely, 222966328 is an apocalyptic number.

22966328 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 22966328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28028160).

22966328 is an abundant number, since it is smaller than the sum of its proper divisors (33089992).

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

22966328 is a wasteful number, since it uses less digits than its factorization.

22966328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 22966328 is about 4792.3196888355. The cubic root of 22966328 is about 284.2478494964.

The spelling of 22966328 in words is "twenty-two million, nine hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1621 1771 2024 3242 3542 6484 7084 11347 12968 14168 17831 22694 35662 37283 45388 71324 74566 90776 124817 142648 149132 249634 260981 298264 410113 499268 521962 820226 998536 1043924 1640452 2087848 2870791 3280904 5741582 11483164 22966328