Search a number
-
+
223402313400 = 233527463711471
BaseRepresentation
bin1101000000001111010…
…0001100011010111000
3210100122021212101022120
43100003310030122320
512130011443012100
6250343554521240
722066055221650
oct3200364143270
9710567771276
10223402313400
1186820866682
1237368b96220
13180b384c8b6
14ab541b7360
155c27c530a0
hex3403d0c6b8

223402313400 has 192 divisors, whose sum is σ = 791722183680. Its totient is φ = 51047923200.

The previous prime is 223402313383. The next prime is 223402313411. The reversal of 223402313400 is 4313204322.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19469665 + ... + 19481135.

It is an arithmetic number, because the mean of its divisors is an integer number (4123553040).

Almost surely, 2223402313400 is an apocalyptic number.

223402313400 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 223402313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395861091840).

223402313400 is an abundant number, since it is smaller than the sum of its proper divisors (568319870280).

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

223402313400 is a wasteful number, since it uses less digits than its factorization.

223402313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223402313400 its reverse (4313204322), we get a palindrome (227715517722).

The spelling of 223402313400 in words is "two hundred twenty-three billion, four hundred two million, three hundred thirteen thousand, four hundred".