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21550144 = 267114373
BaseRepresentation
bin101001000110…
…1010001000000
31111112212020111
41102031101000
521004101034
62045521104
7351113260
oct122152100
944485214
1021550144
1111189a40
127273194
134606b85
142c0d7a0
151d5a364
hex148d440

21550144 has 56 divisors (see below), whose sum is σ = 53327808. Its totient is φ = 8394240.

The previous prime is 21550129. The next prime is 21550147. The reversal of 21550144 is 44105512.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21550147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2742 + ... + 7114.

Almost surely, 221550144 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 21550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26663904).

21550144 is an abundant number, since it is smaller than the sum of its proper divisors (31777664).

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

21550144 is a wasteful number, since it uses less digits than its factorization.

21550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 21550144 is about 4642.2132652432. The cubic root of 21550144 is about 278.2808954564.

Adding to 21550144 its reverse (44105512), we get a palindrome (65655656).

The spelling of 21550144 in words is "twenty-one million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4373 4928 8746 17492 30611 34984 48103 61222 69968 96206 122444 139936 192412 244888 279872 336721 384824 489776 673442 769648 979552 1346884 1539296 1959104 2693768 3078592 5387536 10775072 21550144