Search a number
-
+
223781376000 = 2123537131601
BaseRepresentation
bin1101000001101001101…
…0001101000000000000
3210101121201010202110010
43100122122031000000
512131301013013000
6250445335304520
722111340211510
oct3203232150000
9711551122403
10223781376000
11869a5830a56
1237453b1b140
13181442401b0
14ab8c68b840
155c4b17cd50
hex341a68d000

223781376000 has 832 divisors, whose sum is σ = 917069078016. Its totient is φ = 47185920000.

The previous prime is 223781375999. The next prime is 223781376029. The reversal of 223781376000 is 673187322.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 223781376000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139775200 + ... + 139776800.

It is an arithmetic number, because the mean of its divisors is an integer number (1102246488).

Almost surely, 2223781376000 is an apocalyptic number.

223781376000 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 223781376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458534539008).

223781376000 is an abundant number, since it is smaller than the sum of its proper divisors (693287702016).

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

223781376000 is a wasteful number, since it uses less digits than its factorization.

223781376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 223781376000 in words is "two hundred twenty-three billion, seven hundred eighty-one million, three hundred seventy-six thousand".