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22156416 = 27342137
BaseRepresentation
bin101010010000…
…1010010000000
31112200122220000
41110201102000
521133001131
62110520000
7356216652
oct124412200
945618800
1022156416
1111563497
127506000
134789b09
142d2a6d2
151e29ce6
hex1521480

22156416 has 80 divisors (see below), whose sum is σ = 65967990. Its totient is φ = 7382016.

The previous prime is 22156397. The next prime is 22156439. The reversal of 22156416 is 61465122.

22156416 is a `hidden beast` number, since 2 + 2 + 15 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 254016 = 4680^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22156416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9300 + ... + 11436.

Almost surely, 222156416 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 22156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32983995).

22156416 is an abundant number, since it is smaller than the sum of its proper divisors (43811574).

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

22156416 is an equidigital number, since it uses as much as digits as its factorization.

22156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2142 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 22156416 is about 4707.0602290602. The cubic root of 22156416 is about 280.8664317949.

The spelling of 22156416 in words is "twenty-two million, one hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2137 2592 3456 4274 5184 6411 8548 10368 12822 17096 19233 25644 34192 38466 51288 57699 68384 76932 102576 115398 136768 153864 173097 205152 230796 273536 307728 346194 410304 461592 615456 692388 820608 923184 1230912 1384776 1846368 2461824 2769552 3692736 5539104 7385472 11078208 22156416