Search a number
-
+
23252333520 = 24351311936247
BaseRepresentation
bin10101101001111100…
…100111001111010000
32020000111100221002210
4111221330213033100
5340110044133040
614403150112120
71452133400553
oct255174471720
966014327083
1023252333520
119952377369
12460b1ab640
13226743aa40
1411a821469a
15911555480
hex569f273d0

23252333520 has 160 divisors (see below), whose sum is σ = 77704526592. Its totient is φ = 5717938176.

The previous prime is 23252333501. The next prime is 23252333543. The reversal of 23252333520 is 2533325232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719037 + ... + 3725283.

Almost surely, 223252333520 is an apocalyptic number.

23252333520 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 23252333520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852263296).

23252333520 is an abundant number, since it is smaller than the sum of its proper divisors (54452193072).

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

23252333520 is a wasteful number, since it uses less digits than its factorization.

23252333520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 23252333520 its reverse (2533325232), we get a palindrome (25785658752).

The spelling of 23252333520 in words is "twenty-three billion, two hundred fifty-two million, three hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1193 1560 2386 3120 3579 4772 5965 6247 7158 9544 11930 12494 14316 15509 17895 18741 19088 23860 24988 28632 31018 31235 35790 37482 46527 47720 49976 57264 62036 62470 71580 74964 77545 81211 93054 93705 95440 99952 124072 124940 143160 149928 155090 162422 186108 187410 232635 243633 248144 249880 286320 299856 310180 324844 372216 374820 406055 465270 487266 499760 620360 649688 744432 749640 812110 930540 974532 1218165 1240720 1299376 1499280 1624220 1861080 1949064 2436330 3248440 3722160 3898128 4872660 6496880 7452671 9745320 14905342 19490640 22358013 29810684 37263355 44716026 59621368 74526710 89432052 96884723 111790065 119242736 149053420 178864104 193769446 223580130 290654169 298106840 357728208 387538892 447160260 484423615 581308338 596213680 775077784 894320520 968847230 1162616676 1453270845 1550155568 1788641040 1937694460 2325233352 2906541690 3875388920 4650466704 5813083380 7750777840 11626166760 23252333520