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221346426 = 23721767661
BaseRepresentation
bin11010011000101…
…11101001111010
3120102111120012210
431030113221322
5423131041201
633544115550
75325261600
oct1514275172
9512446183
10221346426
11103a42934
1262165bb6
1336b1c522
142157b870
15146741d6
hexd317a7a

221346426 has 96 divisors (see below), whose sum is σ = 554236992. Its totient is φ = 58544640.

The previous prime is 221346403. The next prime is 221346431. The reversal of 221346426 is 624643122.

It is a junction number, because it is equal to n+sod(n) for n = 221346393 and 221346402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334536 + ... + 335196.

It is an arithmetic number, because the mean of its divisors is an integer number (5773302).

Almost surely, 2221346426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221346426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277118496).

221346426 is an abundant number, since it is smaller than the sum of its proper divisors (332890566).

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

221346426 is a wasteful number, since it uses less digits than its factorization.

221346426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 221346426 is about 14877.7157520904. The cubic root of 221346426 is about 604.9101029828.

Adding to 221346426 its reverse (624643122), we get a palindrome (845989548).

The spelling of 221346426 in words is "two hundred twenty-one million, three hundred forty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 67 98 102 119 134 147 201 238 294 357 402 469 661 714 833 938 1139 1322 1407 1666 1983 2278 2499 2814 3283 3417 3966 4627 4998 6566 6834 7973 9254 9849 11237 13881 15946 19698 22474 23919 27762 32389 33711 44287 47838 55811 64778 67422 78659 88574 97167 111622 132861 157318 167433 194334 235977 265722 310009 334866 471954 550613 620018 752879 930027 1101226 1505758 1651839 1860054 2170063 2258637 3303678 4340126 4517274 5270153 6510189 10540306 13020378 15810459 31620918 36891071 73782142 110673213 221346426