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23246141520 = 2435727151059
BaseRepresentation
bin10101101001100100…
…111111100001010000
32020000001201100021110
4111221210333201100
5340102003012040
614402405253320
71452026641230
oct255144774120
966001640243
1023246141520
119949928208
124609104240
132266080534
1411a7481cc0
15910c30980
hex56993f850

23246141520 has 160 divisors (see below), whose sum is σ = 82663280640. Its totient is φ = 5293693440.

The previous prime is 23246141519. The next prime is 23246141521. The reversal of 23246141520 is 2514164232.

It is an interprime number because it is at equal distance from previous prime (23246141519) and next prime (23246141521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23246141521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429751 + ... + 480809.

It is an arithmetic number, because the mean of its divisors is an integer number (516645504).

Almost surely, 223246141520 is an apocalyptic number.

23246141520 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 23246141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41331640320).

23246141520 is an abundant number, since it is smaller than the sum of its proper divisors (59417139120).

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

23246141520 is a wasteful number, since it uses less digits than its factorization.

23246141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51353 (or 51347 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 23246141520 in words is "twenty-three billion, two hundred forty-six million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 271 280 336 420 542 560 813 840 1084 1355 1626 1680 1897 2168 2710 3252 3794 4065 4336 5420 5691 6504 7588 8130 9485 10840 11382 13008 15176 16260 18970 21680 22764 28455 30352 32520 37940 45528 51059 56910 65040 75880 91056 102118 113820 151760 153177 204236 227640 255295 306354 357413 408472 455280 510590 612708 714826 765885 816944 1021180 1072239 1225416 1429652 1531770 1787065 2042360 2144478 2450832 2859304 3063540 3574130 4084720 4288956 5361195 5718608 6127080 7148260 8577912 10722390 12254160 13836989 14296520 17155824 21444780 27673978 28593040 41510967 42889560 55347956 69184945 83021934 85779120 96858923 110695912 138369890 166043868 193717846 207554835 221391824 276739780 290576769 332087736 387435692 415109670 484294615 553479560 581153538 664175472 774871384 830219340 968589230 1106959120 1162307076 1452883845 1549742768 1660438680 1937178460 2324614152 2905767690 3320877360 3874356920 4649228304 5811535380 7748713840 11623070760 23246141520