Search a number
-
+
23222424112300 = 22527213813431767
BaseRepresentation
bin1010100011110111001000…
…10101110000110010101100
310001020001010122221101210001
411101323210111300302230
511020434011033043200
6121220122342154044
74614523214030500
oct521734425606254
9101201118841701
1023222424112300
117443636005426
1227307b2a22924
13cc5b32ab94ba
145a3d85456300
152a410650576a
hex151ee4570cac

23222424112300 has 108 divisors (see below), whose sum is σ = 58662498057744. Its totient is φ = 7956206294400.

The previous prime is 23222424112273. The next prime is 23222424112313. The reversal of 23222424112300 is 321142422232.

It is a super-2 number, since 2×232224241123002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5051017 + ... + 8482783.

Almost surely, 223222424112300 is an apocalyptic number.

23222424112300 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 23222424112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331249028872).

23222424112300 is an abundant number, since it is smaller than the sum of its proper divisors (35440073945444).

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

23222424112300 is a wasteful number, since it uses less digits than its factorization.

23222424112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433176 (or 3433162 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23222424112300 its reverse (321142422232), we get a palindrome (23543566534532).

The spelling of 23222424112300 in words is "twenty-three trillion, two hundred twenty-two billion, four hundred twenty-four million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1381 2450 2762 4900 5524 6905 9667 13810 19334 27620 34525 38668 48335 67669 69050 96670 135338 138100 193340 241675 270676 338345 483350 676690 966700 1353380 1691725 3383450 3431767 6766900 6863534 13727068 17158835 24022369 34317670 48044738 68635340 85794175 96089476 120111845 168156583 171588350 240223690 336313166 343176700 480447380 600559225 672626332 840782915 1201118450 1681565830 2402236900 3363131660 4203914575 4739270227 8407829150 9478540454 16815658300 18957080908 23696351135 33174891589 47392702270 66349783178 94785404540 118481755675 132699566356 165874457945 232224241123 236963511350 331748915890 464448482246 473927022700 663497831780 829372289725 928896964492 1161121205615 1658744579450 2322242411230 3317489158900 4644484822460 5805606028075 11611212056150 23222424112300