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21223251072 = 273329320959
BaseRepresentation
bin10011110001000000…
…010001110010000000
32000210002021212021000
4103301000101302000
5321431123013242
613425543532000
71350634441362
oct236100216200
960702255230
1021223251072
119000a76721
12414375a000
132002c5023a
141054948d32
1584334aa4c
hex4f1011c80

21223251072 has 128 divisors (see below), whose sum is σ = 62854848000. Its totient is φ = 7049935872.

The previous prime is 21223251067. The next prime is 21223251079. The reversal of 21223251072 is 27015232212.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (21223251079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002129 + ... + 1023087.

It is an arithmetic number, because the mean of its divisors is an integer number (491053500).

Almost surely, 221223251072 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 21223251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31427424000).

21223251072 is an abundant number, since it is smaller than the sum of its proper divisors (41631596928).

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

21223251072 is a wasteful number, since it uses less digits than its factorization.

21223251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21275 (or 21257 counting only the distinct ones).

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

Adding to 21223251072 its reverse (27015232212), we get a palindrome (48238483284).

The spelling of 21223251072 in words is "twenty-one billion, two hundred twenty-three million, two hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 293 384 432 576 586 864 879 1152 1172 1728 1758 2344 2637 3456 3516 4688 5274 7032 7911 9376 10548 14064 15822 18752 20959 21096 28128 31644 37504 41918 42192 56256 62877 63288 83836 84384 112512 125754 126576 167672 168768 188631 251508 253152 335344 337536 377262 503016 506304 565893 670688 754524 1006032 1012608 1131786 1341376 1509048 2012064 2263572 2682752 3018096 4024128 4527144 6036192 6140987 8048256 9054288 12072384 12281974 18108576 18422961 24144768 24563948 36217152 36845922 49127896 55268883 72434304 73691844 98255792 110537766 147383688 165806649 196511584 221075532 294767376 331613298 393023168 442151064 589534752 663226596 786046336 884302128 1179069504 1326453192 1768604256 2358139008 2652906384 3537208512 5305812768 7074417024 10611625536 21223251072