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226204524 = 2232713292381
BaseRepresentation
bin11010111101110…
…01101101101100
3120202122101021100
431132321231230
5430402021044
634240203100
75414464260
oct1536715554
9522571240
10226204524
11106760897
1263909490
1337b30840
14220840a0
1514cd3869
hexd7b9b6c

226204524 has 144 divisors (see below), whose sum is σ = 728320320. Its totient is φ = 57576960.

The previous prime is 226204523. The next prime is 226204603. The reversal of 226204524 is 425402622.

It is a happy number.

226204524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226204523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93814 + ... + 96194.

It is an arithmetic number, because the mean of its divisors is an integer number (5057780).

Almost surely, 2226204524 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 226204524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364160160).

226204524 is an abundant number, since it is smaller than the sum of its proper divisors (502115796).

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

226204524 is a wasteful number, since it uses less digits than its factorization.

226204524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 226204524 is about 15040.0972071327. The cubic root of 226204524 is about 609.3036252814.

The spelling of 226204524 in words is "two hundred twenty-six million, two hundred four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2381 2436 2639 3276 3393 3654 4524 4762 5278 6786 7143 7308 7917 9524 10556 13572 14286 15834 16667 21429 23751 28572 30953 31668 33334 42858 47502 50001 61906 66668 69049 85716 92859 95004 100002 123812 138098 150003 185718 200004 207147 216671 276196 278577 300006 371436 414294 433342 483343 557154 600012 621441 650013 828588 866684 897637 966686 1114308 1242882 1300026 1450029 1795274 1933372 1950039 2485764 2600052 2692911 2900058 3590548 3900078 4350087 5385822 5800116 6283459 7800156 8078733 8700174 10771644 12566918 16157466 17400348 18850377 25133836 32314932 37700754 56551131 75401508 113102262 226204524