Search a number
-
+
223025757696 = 2936785361
BaseRepresentation
bin1100111110110101011…
…1101111111000000000
3210022200001022101000000
43033231113233320000
512123224043221241
6250242344000000
722053533442630
oct3175527577000
9708601271000
10223025757696
1186648253815
1237282a60000
1318053829381
14ab1a1966c0
155c04b70eb6
hex33ed5efe00

223025757696 has 280 divisors, whose sum is σ = 763572650544. Its totient is φ = 63720898560.

The previous prime is 223025757683. The next prime is 223025757709. The reversal of 223025757696 is 696757520322.

223025757696 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 575 + 7 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (223025757683) and next prime (223025757709).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2570056 + ... + 2655416.

Almost surely, 2223025757696 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 223025757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381786325272).

223025757696 is an abundant number, since it is smaller than the sum of its proper divisors (540546892848).

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

223025757696 is an frugal number, since it uses more digits than its factorization.

223025757696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85404 (or 85373 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 223025757696 in words is "two hundred twenty-three billion, twenty-five million, seven hundred fifty-seven thousand, six hundred ninety-six".