Search a number
-
+
227770368 = 21537331
BaseRepresentation
bin11011001001110…
…00000000000000
3120212120221012120
431210320000000
5431302122433
634333524240
75434005360
oct1544700000
9525527176
10227770368
11107630281
1264343680
133825b487
14223709a0
1514ee27b3
hexd938000

227770368 has 128 divisors (see below), whose sum is σ = 696243840. Its totient is φ = 64880640.

The previous prime is 227770339. The next prime is 227770381. The reversal of 227770368 is 863077722.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687963 + ... + 688293.

It is an arithmetic number, because the mean of its divisors is an integer number (5439405).

Almost surely, 2227770368 is an apocalyptic number.

227770368 is a gapful number since it is divisible by the number (28) 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 227770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348121920).

227770368 is an abundant number, since it is smaller than the sum of its proper divisors (468473472).

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

227770368 is an frugal number, since it uses more digits than its factorization.

227770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 227770368 is about 15092.0630796455. The cubic root of 227770368 is about 610.7063107647.

The spelling of 227770368 in words is "two hundred twenty-seven million, seven hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 331 336 384 448 512 662 672 768 896 993 1024 1324 1344 1536 1792 1986 2048 2317 2648 2688 3072 3584 3972 4096 4634 5296 5376 6144 6951 7168 7944 8192 9268 10592 10752 12288 13902 14336 15888 16384 18536 21184 21504 24576 27804 28672 31776 32768 37072 42368 43008 49152 55608 57344 63552 74144 84736 86016 98304 111216 114688 127104 148288 169472 172032 222432 229376 254208 296576 338944 344064 444864 508416 593152 677888 688128 889728 1016832 1186304 1355776 1779456 2033664 2372608 2711552 3558912 4067328 4745216 5423104 7117824 8134656 9490432 10846208 14235648 16269312 18980864 28471296 32538624 37961728 56942592 75923456 113885184 227770368