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226237428 = 223317149827
BaseRepresentation
bin11010111110000…
…01101111110100
3120202201001102000
431133001233310
5430404044203
634241015300
75414662224
oct1537015764
9522631360
10226237428
1110678358a
1263924530
1337b42801
1422092084
1514cdd4a3
hexd7c1bf4

226237428 has 96 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 70414848.

The previous prime is 226237423. The next prime is 226237481. The reversal of 226237428 is 824732622.

It is a happy number.

226237428 is a `hidden beast` number, since 2 + 2 + 623 + 7 + 4 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226237392 and 226237401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226237421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273151 + ... + 273977.

It is an arithmetic number, because the mean of its divisors is an integer number (6520500).

Almost surely, 2226237428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226237428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).

226237428 is an abundant number, since it is smaller than the sum of its proper divisors (399730572).

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

226237428 is a wasteful number, since it uses less digits than its factorization.

226237428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 226237428 is about 15041.1910432652. The cubic root of 226237428 is about 609.3331672111. Note that the first 3 decimals are identical.

The spelling of 226237428 in words is "two hundred twenty-six million, two hundred thirty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 149 153 204 298 306 447 459 596 612 827 894 918 1341 1654 1788 1836 2481 2533 2682 3308 4023 4962 5066 5364 7443 7599 8046 9924 10132 14059 14886 15198 16092 22329 22797 28118 29772 30396 42177 44658 45594 56236 68391 84354 89316 91188 123223 126531 136782 168708 246446 253062 273564 369669 379593 492892 506124 739338 759186 1109007 1478676 1518372 2094791 2218014 3327021 4189582 4436028 6284373 6654042 8379164 12568746 13308084 18853119 25137492 37706238 56559357 75412476 113118714 226237428