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227950464 = 2737137619
BaseRepresentation
bin11011001011000…
…11111110000000
3120212221002020210
431211203332000
5431323403324
634341434120
75435355420
oct1545437600
9525832223
10227950464
11107743615
126440b940
13382c2441
14223ba480
151502ad29
hexd963f80

227950464 has 128 divisors (see below), whose sum is σ = 698169600. Its totient is φ = 64548864.

The previous prime is 227950441. The next prime is 227950483. The reversal of 227950464 is 464059722.

227950464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2279504642 = 103922828075630592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367947 + ... + 368565.

It is an arithmetic number, because the mean of its divisors is an integer number (5454450).

Almost surely, 2227950464 is an apocalyptic number.

227950464 is a gapful number since it is divisible by the number (24) 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 227950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349084800).

227950464 is an abundant number, since it is smaller than the sum of its proper divisors (470219136).

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

227950464 is a wasteful number, since it uses less digits than its factorization.

227950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 227950464 is about 15098.0284805666. The cubic root of 227950464 is about 610.8672283724.

The spelling of 227950464 in words is "two hundred twenty-seven million, nine hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 137 168 192 224 274 336 384 411 448 548 619 672 822 896 959 1096 1238 1344 1644 1857 1918 2192 2476 2688 2877 3288 3714 3836 4333 4384 4952 5754 6576 7428 7672 8666 8768 9904 11508 12999 13152 14856 15344 17332 17536 19808 23016 25998 26304 29712 30688 34664 39616 46032 51996 52608 59424 61376 69328 79232 84803 92064 103992 118848 122752 138656 169606 184128 207984 237696 254409 277312 339212 368256 415968 508818 554624 593621 678424 831936 1017636 1187242 1356848 1663872 1780863 2035272 2374484 2713696 3561726 4070544 4748968 5427392 7123452 8141088 9497936 10854784 14246904 16282176 18995872 28493808 32564352 37991744 56987616 75983488 113975232 227950464