Search a number
-
+
223033301112400 = 24521797457417727
BaseRepresentation
bin110010101101100011111100…
…101011111001011001010000
31002020200202221020021121221121
4302231203330223321121100
5213213134200041044100
62110204030053332024
764656424055360002
oct6255437453713120
91066622836247847
10223033301112400
116507998a014759
1221021421337014
13975ac4734933c
143d10c257ac372
151abb91beb551a
hexcad8fcaf9650

223033301112400 has 120 divisors (see below), whose sum is σ = 538904560043520. Its totient is φ = 88702812794880.

The previous prime is 223033301112389. The next prime is 223033301112407. The reversal of 223033301112400 is 4211103330322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223033301112407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533712337 + ... + 534130063.

It is an arithmetic number, because the mean of its divisors is an integer number (4490871333696).

Almost surely, 2223033301112400 is an apocalyptic number.

223033301112400 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 223033301112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269452280021760).

223033301112400 is an abundant number, since it is smaller than the sum of its proper divisors (315871258931120).

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

223033301112400 is a wasteful number, since it uses less digits than its factorization.

223033301112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425381 (or 425370 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223033301112400 its reverse (4211103330322), we get a palindrome (227244404442722).

The spelling of 223033301112400 in words is "two hundred twenty-three trillion, thirty-three billion, three hundred one million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 7457 8950 14320 14914 17900 29828 35800 37285 59656 71600 74570 119312 149140 186425 298280 372850 417727 596560 745700 835454 1334803 1491400 1670908 2088635 2669606 2982800 3341816 4177270 5339212 6674015 6683632 8354540 10443175 10678424 13348030 16709080 20886350 21356848 26696060 33370075 33418160 41772700 53392120 66740150 74773133 83545400 106784240 133480300 149546266 167090800 266960600 299092532 373865665 533921200 598185064 747731330 1196370128 1495462660 1869328325 2990925320 3114990239 3738656650 5981850640 6229980478 7477313300 12459960956 14954626600 15574951195 24919921912 29909253200 31149902390 49839843824 62299804780 77874755975 124599609560 155749511950 249199219120 311499023900 557583252781 622998047800 1115166505562 1245996095600 2230333011124 2787916263905 4460666022248 5575832527810 8921332044496 11151665055620 13939581319525 22303330111240 27879162639050 44606660222480 55758325278100 111516650556200 223033301112400