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23312772 = 2234719541
BaseRepresentation
bin101100011101…
…1100110000100
31121212102010000
41120323212010
521432002042
62151401300
7402104160
oct130734604
947772100
1023312772
111218325a
127983230
134aa3252
14314bca0
1520a774c
hex163b984

23312772 has 120 divisors (see below), whose sum is σ = 73451840. Its totient is φ = 6298560.

The previous prime is 23312767. The next prime is 23312789. The reversal of 23312772 is 27721332.

It is a happy number.

It is a super-3 number, since 3×233127723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42822 + ... + 43362.

Almost surely, 223312772 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 23312772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36725920).

23312772 is an abundant number, since it is smaller than the sum of its proper divisors (50139068).

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

23312772 is a wasteful number, since it uses less digits than its factorization.

23312772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 23312772 is about 4828.3301461271. The cubic root of 23312772 is about 285.6700026131.

The spelling of 23312772 in words is "twenty-three million, three hundred twelve thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 541 567 684 756 798 1026 1082 1134 1197 1539 1596 1623 2052 2164 2268 2394 3078 3246 3591 3787 4788 4869 6156 6492 7182 7574 9738 10279 10773 11361 14364 14607 15148 19476 20558 21546 22722 29214 30837 34083 41116 43092 43821 45444 58428 61674 68166 71953 87642 92511 102249 123348 136332 143906 175284 185022 204498 215859 277533 287812 306747 370044 408996 431718 555066 613494 647577 832599 863436 1110132 1226988 1295154 1665198 1942731 2590308 3330396 3885462 5828193 7770924 11656386 23312772