Search a number
-
+
223025773152 = 253713471813001
BaseRepresentation
bin1100111110110101011…
…1110011101001100000
3210022200001100011012110
43033231113303221200
512123224044220102
6250242344155320
722053533535660
oct3175527635140
9708601304173
10223025773152
1186648264396
1237282a68b40
1318053833410
14ab1a19c1a0
155c04b7586c
hex33ed5f3a60

223025773152 has 384 divisors, whose sum is σ = 740187721728. Its totient is φ = 57231360000.

The previous prime is 223025773099. The next prime is 223025773213. The reversal of 223025773152 is 251377520322.

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 223025773152.

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, 74315652 + ... + 74318652.

It is an arithmetic number, because the mean of its divisors is an integer number (1927572192).

Almost surely, 2223025773152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223025773152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370093860864).

223025773152 is an abundant number, since it is smaller than the sum of its proper divisors (517161948576).

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

223025773152 is a wasteful number, since it uses less digits than its factorization.

223025773152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 223025773152 in words is "two hundred twenty-three billion, twenty-five million, seven hundred seventy-three thousand, one hundred fifty-two".