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22029312 = 210371101
BaseRepresentation
bin101010000001…
…0010000000000
31112110012112110
41110002100000
521114414222
62104055320
7355150254
oct124022000
945405473
1022029312
1111486a48
127464540
134743cc6
142cd6264
151e0230c
hex1502400

22029312 has 88 divisors (see below), whose sum is σ = 60132672. Its totient is φ = 7168000.

The previous prime is 22029311. The next prime is 22029389. The reversal of 22029312 is 21392022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22029311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218062 + ... + 218162.

Almost surely, 222029312 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 22029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30066336).

22029312 is an abundant number, since it is smaller than the sum of its proper divisors (38103360).

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

22029312 is a wasteful number, since it uses less digits than its factorization.

22029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22029312 is about 4693.5393894161. The cubic root of 22029312 is about 280.3283223484.

The spelling of 22029312 in words is "twenty-two million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 101 128 142 192 202 213 256 284 303 384 404 426 512 568 606 768 808 852 1024 1136 1212 1536 1616 1704 2272 2424 3072 3232 3408 4544 4848 6464 6816 7171 9088 9696 12928 13632 14342 18176 19392 21513 25856 27264 28684 36352 38784 43026 51712 54528 57368 72704 77568 86052 103424 109056 114736 155136 172104 218112 229472 310272 344208 458944 688416 917888 1376832 1835776 2753664 3671552 5507328 7343104 11014656 22029312