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22156542 = 23217611187
BaseRepresentation
bin101010010000…
…1010011111110
31112200200001200
41110201103332
521133002132
62110520330
7356220222
oct124412376
945620050
1022156542
11115635a1
1275060a6
134789ba5
142d2a782
151e29d7c
hex15214fe

22156542 has 48 divisors (see below), whose sum is σ = 51706512. Its totient is φ = 6831360.

The previous prime is 22156531. The next prime is 22156543. The reversal of 22156542 is 24565122.

22156542 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 654 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22156543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18073 + ... + 19259.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 222156542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22156542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853256).

22156542 is an abundant number, since it is smaller than the sum of its proper divisors (29549970).

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

22156542 is a wasteful number, since it uses less digits than its factorization.

22156542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 22156542 is about 4707.0736131911. The cubic root of 22156542 is about 280.8669642081.

The spelling of 22156542 in words is "twenty-two million, one hundred fifty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1187 2074 2374 3111 3561 6222 7122 9333 10683 18666 20179 21366 40358 60537 72407 121074 144814 181611 217221 363222 434442 651663 1230919 1303326 2461838 3692757 7385514 11078271 22156542