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223252440 = 23352964153
BaseRepresentation
bin11010100111010…
…00111111011000
3120120002101202220
431103220333120
5424123034230
634053024040
75350420515
oct1523507730
9516071686
10223252440
11105024954
1262925020
1337338c48
142191630c
15148edd10
hexd4e8fd8

223252440 has 64 divisors (see below), whose sum is σ = 692863200. Its totient is φ = 57480192.

The previous prime is 223252439. The next prime is 223252441. The reversal of 223252440 is 44252322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223252439) and next prime (223252441).

It is a super-3 number, since 3×2232524403 (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223252440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223252441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28597 + ... + 35556.

Almost surely, 2223252440 is an apocalyptic number.

223252440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223252440 is an abundant number, since it is smaller than the sum of its proper divisors (469610760).

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

223252440 is a wasteful number, since it uses less digits than its factorization.

223252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64196 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 223252440 is about 14941.6344487476. The cubic root of 223252440 is about 606.6414365120.

The spelling of 223252440 in words is "two hundred twenty-three million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 64153 128306 192459 256612 320765 384918 513224 641530 769836 962295 1283060 1539672 1860437 1924590 2566120 3720874 3849180 5581311 7441748 7698360 9302185 11162622 14883496 18604370 22325244 27906555 37208740 44650488 55813110 74417480 111626220 223252440