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20244214320 = 24351123332911
BaseRepresentation
bin10010110110101001…
…100011001000110000
31221020212001122022120
4102312221203020300
5312430004324240
613144451434240
71314445661001
oct226651431060
957225048276
1020244214320
118649370940
123b0b8b5980
131ba8172a55
14da08d71a8
157d740aad0
hex4b6a63230

20244214320 has 160 divisors (see below), whose sum is σ = 68758170624. Its totient is φ = 4886476800.

The previous prime is 20244214303. The next prime is 20244214321. The reversal of 20244214320 is 2341244202.

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

It is not an unprimeable number, because it can be changed into a prime (20244214321) 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, 598665 + ... + 631575.

Almost surely, 220244214320 is an apocalyptic number.

20244214320 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 20244214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34379085312).

20244214320 is an abundant number, since it is smaller than the sum of its proper divisors (48513956304).

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

20244214320 is a wasteful number, since it uses less digits than its factorization.

20244214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33171 (or 33165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20244214320 its reverse (2341244202), we get a palindrome (22585458522).

The spelling of 20244214320 in words is "twenty billion, two hundred forty-four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 233 240 264 330 440 466 528 660 699 880 932 1165 1320 1398 1864 2330 2563 2640 2796 3495 3728 4660 5126 5592 6990 7689 9320 10252 11184 12815 13980 15378 18640 20504 25630 27960 30756 32911 38445 41008 51260 55920 61512 65822 76890 98733 102520 123024 131644 153780 164555 197466 205040 263288 307560 329110 362021 394932 493665 526576 615120 658220 724042 789864 987330 1086063 1316440 1448084 1579728 1810105 1974660 2172126 2632880 2896168 3620210 3949320 4344252 5430315 5792336 7240420 7668263 7898640 8688504 10860630 14480840 15336526 17377008 21721260 23004789 28961680 30673052 38341315 43442520 46009578 61346104 76682630 84350893 86885040 92019156 115023945 122692208 153365260 168701786 184038312 230047890 253052679 306730520 337403572 368076624 421754465 460095780 506105358 613461040 674807144 843508930 920191560 1012210716 1265263395 1349614288 1687017860 1840383120 2024421432 2530526790 3374035720 4048842864 5061053580 6748071440 10122107160 20244214320