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22012416 = 293217281
BaseRepresentation
bin101001111111…
…0001000000000
31112102100100200
41103332020000
521113344131
62103445200
7355050066
oct123761000
945370320
1022012416
1111475288
127456800
1347393ca
142cd0036
151dec2e6
hex14fe200

22012416 has 120 divisors (see below), whose sum is σ = 67505724. Its totient is φ = 6881280.

The previous prime is 22012411. The next prime is 22012427. The reversal of 22012416 is 61421022.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 1218816 = 4560^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78196 + ... + 78476.

Almost surely, 222012416 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 22012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33752862).

22012416 is an abundant number, since it is smaller than the sum of its proper divisors (45493308).

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

22012416 is a wasteful number, since it uses less digits than its factorization.

22012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22012416 is about 4691.7391231824. The cubic root of 22012416 is about 280.2566354559.

Adding to 22012416 its reverse (61421022), we get a palindrome (83433438).

The spelling of 22012416 in words is "twenty-two million, twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 281 288 306 384 408 512 544 562 576 612 768 816 843 1088 1124 1152 1224 1536 1632 1686 2176 2248 2304 2448 2529 3264 3372 4352 4496 4608 4777 4896 5058 6528 6744 8704 8992 9554 9792 10116 13056 13488 14331 17984 19108 19584 20232 26112 26976 28662 35968 38216 39168 40464 42993 53952 57324 71936 76432 78336 80928 85986 107904 114648 143872 152864 161856 171972 215808 229296 305728 323712 343944 431616 458592 611456 647424 687888 917184 1222912 1294848 1375776 1834368 2445824 2751552 3668736 5503104 7337472 11006208 22012416