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22142208 = 283112621
BaseRepresentation
bin101010001110…
…1110100000000
31112122221101210
41110131310000
521132022313
62110330120
7356130354
oct124356400
945587353
1022142208
1111553850
1274b9940
1347834ca
142d25464
151e259c3
hex151dd00

22142208 has 72 divisors (see below), whose sum is σ = 64312416. Its totient is φ = 6707200.

The previous prime is 22142189. The next prime is 22142213. The reversal of 22142208 is 80224122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7138 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (893228).

Almost surely, 222142208 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 22142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156208).

22142208 is an abundant number, since it is smaller than the sum of its proper divisors (42170208).

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

22142208 is a wasteful number, since it uses less digits than its factorization.

22142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22142208 is about 4705.5507647883. The cubic root of 22142208 is about 280.8063829200.

The spelling of 22142208 in words is "twenty-two million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2621 2816 4224 5242 7863 8448 10484 15726 20968 28831 31452 41936 57662 62904 83872 86493 115324 125808 167744 172986 230648 251616 335488 345972 461296 503232 670976 691944 922592 1006464 1383888 1845184 2012928 2767776 3690368 5535552 7380736 11071104 22142208