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11230464 = 28372089
BaseRepresentation
bin101010110101…
…110100000000
3210010120022010
4222311310000
510333333324
61040412520
7164312610
oct52656400
923116263
1011230464
116380683
123917140
13243295b
1416c4a40
15ebc829
hexab5d00

11230464 has 72 divisors (see below), whose sum is σ = 34175680. Its totient is φ = 3207168.

The previous prime is 11230451. The next prime is 11230469. The reversal of 11230464 is 46403211.

It is a super-2 number, since 2×112304642 = 252246643310592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11230464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4332 + ... + 6420.

Almost surely, 211230464 is an apocalyptic number.

11230464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087840).

11230464 is an abundant number, since it is smaller than the sum of its proper divisors (22945216).

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

11230464 is an equidigital number, since it uses as much as digits as its factorization.

11230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 11230464 is about 3351.1884459099. The cubic root of 11230464 is about 223.9404603661.

Adding to 11230464 its reverse (46403211), we get a palindrome (57633675).

The spelling of 11230464 in words is "eleven million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2089 2688 4178 5376 6267 8356 12534 14623 16712 25068 29246 33424 43869 50136 58492 66848 87738 100272 116984 133696 175476 200544 233968 267392 350952 401088 467936 534784 701904 802176 935872 1403808 1604352 1871744 2807616 3743488 5615232 11230464