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223294080 = 2735196121
BaseRepresentation
bin11010100111100…
…11001010000000
3120120011111220010
431103303022000
5424130402310
634053544520
75350653102
oct1523631200
9516144803
10223294080
11105053169
1262945140
1337351b99
1421927572
151490b320
hexd4f3280

223294080 has 128 divisors (see below), whose sum is σ = 749332800. Its totient is φ = 56401920.

The previous prime is 223294063. The next prime is 223294081. The reversal of 223294080 is 80492322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223294081) 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, 33420 + ... + 39540.

Almost surely, 2223294080 is an apocalyptic number.

223294080 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 223294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374666400).

223294080 is an abundant number, since it is smaller than the sum of its proper divisors (526038720).

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

223294080 is a wasteful number, since it uses less digits than its factorization.

223294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 223294080 is about 14943.0278056356. The cubic root of 223294080 is about 606.6791501410.

The spelling of 223294080 in words is "two hundred twenty-three million, two hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 6121 7296 9120 12160 12242 18240 18363 24484 30605 36480 36726 48968 61210 73452 91815 97936 116299 122420 146904 183630 195872 232598 244840 293808 348897 367260 391744 465196 489680 581495 587616 697794 734520 783488 930392 979360 1162990 1175232 1395588 1469040 1744485 1860784 1958720 2325980 2350464 2791176 2938080 3488970 3721568 3917440 4651960 5582352 5876160 6977940 7443136 9303920 11164704 11752320 13955880 14886272 18607840 22329408 27911760 37215680 44658816 55823520 74431360 111647040 223294080