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23263380 = 22325737499
BaseRepresentation
bin101100010111…
…1100010010100
31121202220100200
41120233202110
521423412010
62150340500
7401510160
oct130574224
947686320
1023263380
111214a138
12795a730
134a8691a
143137ca0
152097cc0
hex162f894

23263380 has 144 divisors (see below), whose sum is σ = 82992000. Its totient is φ = 5163264.

The previous prime is 23263379. The next prime is 23263381. The reversal of 23263380 is 8336232.

23263380 is a `hidden beast` number, since 2 + 326 + 338 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23263379) and next prime (23263381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23263381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46371 + ... + 46869.

Almost surely, 223263380 is an apocalyptic number.

23263380 is a gapful number since it is divisible by the number (20) 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 23263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41496000).

23263380 is an abundant number, since it is smaller than the sum of its proper divisors (59728620).

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

23263380 is a wasteful number, since it uses less digits than its factorization.

23263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23263380 is about 4823.2126223089. The cubic root of 23263380 is about 285.4681134343.

The spelling of 23263380 in words is "twenty-three million, two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 499 518 555 630 666 740 777 998 1036 1110 1260 1295 1332 1497 1554 1665 1996 2220 2331 2495 2590 2994 3108 3330 3493 3885 4491 4662 4990 5180 5988 6660 6986 7485 7770 8982 9324 9980 10479 11655 13972 14970 15540 17465 17964 18463 20958 22455 23310 29940 31437 34930 36926 41916 44910 46620 52395 55389 62874 69860 73852 89820 92315 104790 110778 125748 129241 157185 166167 184630 209580 221556 258482 276945 314370 332334 369260 387723 516964 553890 628740 646205 664668 775446 830835 1107780 1163169 1292410 1550892 1661670 1938615 2326338 2584820 3323340 3877230 4652676 5815845 7754460 11631690 23263380