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227156480 = 29589997
BaseRepresentation
bin11011000101000…
…10001000000000
3120211102202002222
431202202020000
5431123001410
634312430212
75425540535
oct1542421000
9524382088
10227156480
11107251031
12640a8368
13380a4c25
1422250d8c
1514e20955
hexd8a2200

227156480 has 80 divisors (see below), whose sum is σ = 551315160. Its totient is φ = 89751552.

The previous prime is 227156467. The next prime is 227156483. The reversal of 227156480 is 84651722.

It can be written as a sum of positive squares in 4 ways, for example, as 188018944 + 39137536 = 13712^2 + 6256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2271564803 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 227156480.

It is not an unprimeable number, because it can be changed into a prime (227156483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227342 + ... + 228338.

Almost surely, 2227156480 is an apocalyptic number.

227156480 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 227156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275657580).

227156480 is an abundant number, since it is smaller than the sum of its proper divisors (324158680).

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

227156480 is an frugal number, since it uses more digits than its factorization.

227156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 227156480 is about 15071.7112498880. The cubic root of 227156480 is about 610.1571573931.

The spelling of 227156480 in words is "two hundred twenty-seven million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 512 640 712 890 997 1280 1424 1780 1994 2560 2848 3560 3988 4985 5696 7120 7976 9970 11392 14240 15952 19940 22784 28480 31904 39880 45568 56960 63808 79760 88733 113920 127616 159520 177466 227840 255232 319040 354932 443665 510464 638080 709864 887330 1276160 1419728 1774660 2552320 2839456 3549320 5678912 7098640 11357824 14197280 22715648 28394560 45431296 56789120 113578240 227156480