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227022642 = 23371171769
BaseRepresentation
bin11011000100000…
…01011100110010
3120211011221112000
431202001130302
5431104211032
634305514430
75424442410
oct1542013462
9524157460
10227022642
1110716a520
1264042a16
1338059032
14222182b0
1514de5e7c
hexd881732

227022642 has 128 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 58060800.

The previous prime is 227022637. The next prime is 227022647. The reversal of 227022642 is 246220722.

It is an interprime number because it is at equal distance from previous prime (227022637) and next prime (227022647).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (227022647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294834 + ... + 295602.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2227022642 is an apocalyptic number.

227022642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 227022642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

227022642 is an abundant number, since it is smaller than the sum of its proper divisors (411646158).

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

227022642 is a wasteful number, since it uses less digits than its factorization.

227022642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 227022642 is about 15067.2705557443. The cubic root of 227022642 is about 610.0373013112.

The spelling of 227022642 in words is "two hundred twenty-seven million, twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 99 126 142 154 189 198 213 231 297 378 426 462 497 594 639 693 769 781 994 1278 1386 1491 1538 1562 1917 2079 2307 2343 2982 3834 4158 4473 4614 4686 5383 5467 6921 7029 8459 8946 10766 10934 13419 13842 14058 16149 16401 16918 20763 21087 25377 26838 32298 32802 41526 42174 48447 49203 50754 54599 59213 76131 96894 98406 109198 118426 145341 147609 152262 163797 177639 228393 290682 295218 327594 355278 382193 456786 491391 532917 600589 764386 982782 1065834 1146579 1201178 1474173 1598751 1801767 2293158 2948346 3197502 3439737 3603534 4204123 5405301 6879474 8408246 10319211 10810602 12612369 16215903 20638422 25224738 32431806 37837107 75674214 113511321 227022642