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227633420 = 225721092131
BaseRepresentation
bin11011001000101…
…10100100001100
3120212022222100102
431210112210030
5431233232140
634330550232
75432565200
oct1544264414
9525288312
10227633420
111075473a3
1264298378
1338211041
1422336b00
1514eb6e15
hexd91690c

227633420 has 72 divisors (see below), whose sum is σ = 561440880. Its totient is φ = 77293440.

The previous prime is 227633411. The next prime is 227633423. The reversal of 227633420 is 24336722.

It is not an unprimeable number, because it can be changed into a prime (227633423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105755 + ... + 107885.

It is an arithmetic number, because the mean of its divisors is an integer number (7797790).

Almost surely, 2227633420 is an apocalyptic number.

227633420 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 227633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280720440).

227633420 is an abundant number, since it is smaller than the sum of its proper divisors (333807460).

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

227633420 is a wasteful number, since it uses less digits than its factorization.

227633420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 227633420 is about 15087.5253106664. The cubic root of 227633420 is about 610.5838895499.

The spelling of 227633420 in words is "two hundred twenty-seven million, six hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1090 1526 2131 2180 3052 3815 4262 5341 7630 8524 10655 10682 14917 15260 21310 21364 26705 29834 42620 53410 59668 74585 104419 106820 149170 208838 232279 298340 417676 464558 522095 929116 1044190 1161395 1625953 2088380 2322790 3251906 4645580 6503812 8129765 11381671 16259530 22763342 32519060 45526684 56908355 113816710 227633420