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5622144 = 273114
BaseRepresentation
bin10101011100100110000000
3101120122010120
4111130212000
52414402034
6320300240
765534043
oct25344600
911518116
105622144
1131a0000
121a71680
13121b018
14a64c5a
15760c49
hex55c980

5622144 has 80 divisors (see below), whose sum is σ = 16427100. Its totient is φ = 1703680.

The previous prime is 5622137. The next prime is 5622167. The reversal of 5622144 is 4412265.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1920) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 511099 + ... + 511109.

Almost surely, 25622144 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 5622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213550).

5622144 is an abundant number, since it is smaller than the sum of its proper divisors (10804956).

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

5622144 is an frugal number, since it uses more digits than its factorization.

5622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 16 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 5622144 is about 2371.1060710141. The cubic root of 5622144 is about 177.8145609074.

Multiplying 5622144 by its sum of digits (24), we get a square (134931456 = 116162).

5622144 divided by its sum of digits (24) gives a 4-th power (234256 = 224).

It can be divided in two parts, 56221 and 44, that added together give a palindrome (56265).

The spelling of 5622144 in words is "five million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1331 1408 1452 1936 2112 2662 2904 3872 3993 4224 5324 5808 7744 7986 10648 11616 14641 15488 15972 21296 23232 29282 31944 42592 43923 46464 58564 63888 85184 87846 117128 127776 170368 175692 234256 255552 351384 468512 511104 702768 937024 1405536 1874048 2811072 5622144