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21226752 = 28333783
BaseRepresentation
bin101000011111…
…0010100000000
31110221102122000
41100332110000
520413224002
62034544000
7345265401
oct120762400
943842560
1021226752
1110a88a78
127138000
134522911
142b679a8
151ce461c
hex143e500

21226752 has 144 divisors (see below), whose sum is σ = 65244480. Its totient is φ = 6801408.

The previous prime is 21226741. The next prime is 21226757. The reversal of 21226752 is 25762212.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21226757) 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, 255703 + ... + 255785.

Almost surely, 221226752 is an apocalyptic number.

21226752 is the 2304-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622240).

21226752 is an abundant number, since it is smaller than the sum of its proper divisors (44017728).

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

21226752 is an equidigital number, since it uses as much as digits as its factorization.

21226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 21226752 is about 4607.2499389549. The cubic root of 21226752 is about 276.8818673721.

Adding to 21226752 its reverse (25762212), we get a palindrome (46988964).

The spelling of 21226752 in words is "twenty-one million, two hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 83 96 108 111 128 144 148 166 192 216 222 249 256 288 296 332 333 384 432 444 498 576 592 664 666 747 768 864 888 996 999 1152 1184 1328 1332 1494 1728 1776 1992 1998 2241 2304 2368 2656 2664 2988 3071 3456 3552 3984 3996 4482 4736 5312 5328 5976 6142 6912 7104 7968 7992 8964 9213 9472 10624 10656 11952 12284 14208 15936 15984 17928 18426 21248 21312 23904 24568 27639 28416 31872 31968 35856 36852 42624 47808 49136 55278 63744 63936 71712 73704 82917 85248 95616 98272 110556 127872 143424 147408 165834 191232 196544 221112 255744 286848 294816 331668 393088 442224 573696 589632 663336 786176 884448 1179264 1326672 1768896 2358528 2653344 3537792 5306688 7075584 10613376 21226752