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22284031 = 7112511153
BaseRepresentation
bin101010100000…
…0011011111111
31112221010221111
41111000123333
521201042111
62113342451
7360261010
oct125003377
945833844
1022284031
1111640360
127567a27
134802c23
142d61007
151e52a21
hex15406ff

22284031 has 16 divisors (see below), whose sum is σ = 27917568. Its totient is φ = 17280000.

The previous prime is 22284029. The next prime is 22284037. The reversal of 22284031 is 13048222.

It is a 10-Lehmer number, since φ(22284031) divides (22284031-1)10.

It is a cyclic number.

It is not a de Polignac number, because 22284031 - 21 = 22284029 is a prime.

It is a super-2 number, since 2×222840312 = 993156075217922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22283993 and 22284011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22284037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18751 + ... + 19903.

It is an arithmetic number, because the mean of its divisors is an integer number (1744848).

Almost surely, 222284031 is an apocalyptic number.

22284031 is a deficient number, since it is larger than the sum of its proper divisors (5633537).

22284031 is a wasteful number, since it uses less digits than its factorization.

22284031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22284031 is about 4720.5964665495. The cubic root of 22284031 is about 281.4046381869.

The spelling of 22284031 in words is "twenty-two million, two hundred eighty-four thousand, thirty-one".

Divisors: 1 7 11 77 251 1153 1757 2761 8071 12683 19327 88781 289403 2025821 3183433 22284031