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23324211312 = 24323731671733
BaseRepresentation
bin10101101110001110…
…110011100001110000
32020012111121200220020
4111232032303201300
5340231444230222
614414234443440
71453665345033
oct255616634160
966174550806
1023324211312
119989a001a6
12462b293580
1322792b618c
1411b39a501a
15917a0265c
hex56e3b3870

23324211312 has 160 divisors (see below), whose sum is σ = 64153893888. Its totient is φ = 7286704128.

The previous prime is 23324211301. The next prime is 23324211329. The reversal of 23324211312 is 21311242332.

It is a super-2 number, since 2×233242113122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 13457998 + ... + 13459730.

Almost surely, 223324211312 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 23324211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32076946944).

23324211312 is an abundant number, since it is smaller than the sum of its proper divisors (40829682576).

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

23324211312 is a wasteful number, since it uses less digits than its factorization.

23324211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 23324211312 its reverse (21311242332), we get a palindrome (44635453644).

The spelling of 23324211312 in words is "twenty-three billion, three hundred twenty-four million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 167 184 219 276 292 334 368 438 501 552 584 668 876 1002 1104 1168 1336 1679 1733 1752 2004 2672 3358 3466 3504 3841 4008 5037 5199 6716 6932 7682 8016 10074 10398 11523 12191 13432 13864 15364 20148 20796 23046 24382 26864 27728 30728 36573 39859 40296 41592 46092 48764 61456 73146 79718 80592 83184 92184 97528 119577 126509 146292 159436 184368 195056 239154 253018 280393 289411 292584 318872 379527 478308 506036 560786 578822 585168 637744 759054 841179 868233 956616 1012072 1121572 1157644 1518108 1682358 1736466 1913232 2024144 2243144 2315288 2909707 3036216 3364716 3472932 4486288 4630576 5819414 6072432 6656453 6729432 6945864 8729121 11638828 13312906 13458864 13891728 17458242 19969359 21127003 23277656 26625812 34916484 39938718 42254006 46555312 53251624 63381009 69832968 79877436 84508012 106503248 126762018 139665936 159754872 169016024 253524036 319509744 338032048 485921069 507048072 971842138 1014096144 1457763207 1943684276 2915526414 3887368552 5831052828 7774737104 11662105656 23324211312