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23331672 = 23337131187
BaseRepresentation
bin101100100000…
…0001101011000
31121220101001000
41121000031120
521433103142
62152025000
7402213240
oct131001530
947811030
1023331672
1112196481
127992160
134aaba30
143154b20
1520ad14c
hex1640358

23331672 has 128 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 6148224.

The previous prime is 23331647. The next prime is 23331673. The reversal of 23331672 is 27613332.

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 not an unprimeable number, because it can be changed into a prime (23331673) 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, 19063 + ... + 20249.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 223331672 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 23331672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

23331672 is an abundant number, since it is smaller than the sum of its proper divisors (56501928).

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

23331672 is a wasteful number, since it uses less digits than its factorization.

23331672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 23331672 is about 4830.2869479980. The cubic root of 23331672 is about 285.7471806888.

It can be divided in two parts, 2333 and 1672, that added together give a triangular number (4005 = T89).

The spelling of 23331672 in words is "twenty-three million, three hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1187 1404 1512 1638 2184 2374 2457 2808 3276 3561 4748 4914 6552 7122 8309 9496 9828 10683 14244 15431 16618 19656 21366 24927 28488 30862 32049 33236 42732 46293 49854 61724 64098 66472 74781 85464 92586 99708 108017 123448 128196 138879 149562 185172 199416 216034 224343 256392 277758 299124 324051 370344 416637 432068 448686 555516 598248 648102 833274 864136 897372 972153 1111032 1296204 1666548 1794744 1944306 2592408 2916459 3333096 3888612 5832918 7777224 11665836 23331672