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11220412 = 22721923131
BaseRepresentation
bin101010110011…
…010110111100
3210010001111211
4222303112330
510333023122
61040254204
7164241400
oct52632674
923101454
1011220412
116374075
123911364
13242b1c8
1416c1100
15eb9877
hexab35bc

11220412 has 72 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4324320.

The previous prime is 11220403. The next prime is 11220427. The reversal of 11220412 is 21402211.

It is a happy number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11220392 and 11220401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85587 + ... + 85717.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 211220412 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 11220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

11220412 is an abundant number, since it is smaller than the sum of its proper divisors (14060228).

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

11220412 is a wasteful number, since it uses less digits than its factorization.

11220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11220412 is about 3349.6883437120. The cubic root of 11220412 is about 223.8736266344.

Adding to 11220412 its reverse (21402211), we get a palindrome (32622623).

It can be divided in two parts, 112 and 20412, that multiplied together give a square (2286144 = 15122).

The spelling of 11220412 in words is "eleven million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 23 28 38 46 49 76 92 98 131 133 161 196 262 266 322 437 524 532 644 874 917 931 1127 1748 1834 1862 2254 2489 3013 3059 3668 3724 4508 4978 6026 6118 6419 9956 12052 12236 12838 17423 21091 21413 25676 34846 42182 42826 57247 69692 84364 85652 114494 121961 147637 228988 243922 295274 400729 487844 590548 801458 1602916 2805103 5610206 11220412