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22320020304 = 24323715127743
BaseRepresentation
bin10100110010011000…
…000111101101010000
32010121112001111210200
4110302120013231100
5331202411122204
614130443255200
71420053020331
oct246230075520
963545044720
1022320020304
11951408467a
1243aab1a500
13214923c50a
14111a486288
158a9794539
hex532607b50

22320020304 has 120 divisors (see below), whose sum is σ = 64580485632. Its totient is φ = 7190726400.

The previous prime is 22320020287. The next prime is 22320020383. The reversal of 22320020304 is 40302002322.

22320020304 is a `hidden beast` number, since 22 + 320 + 0 + 20 + 304 = 666.

It is a super-3 number, since 3×223200203043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790657 + ... + 818399.

Almost surely, 222320020304 is an apocalyptic number.

22320020304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32290242816).

22320020304 is an abundant number, since it is smaller than the sum of its proper divisors (42260465328).

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

22320020304 is a wasteful number, since it uses less digits than its factorization.

22320020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945 (or 27936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22320020304 its reverse (40302002322), we get a palindrome (62622022626).

The spelling of 22320020304 in words is "twenty-two billion, three hundred twenty million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 151 222 296 302 333 444 453 592 604 666 888 906 1208 1332 1359 1776 1812 2416 2664 2718 3624 5328 5436 5587 7248 10872 11174 16761 21744 22348 27743 33522 44696 50283 55486 67044 83229 89392 100566 110972 134088 166458 201132 221944 249687 268176 332916 402264 443888 499374 665832 804528 998748 1026491 1331664 1997496 2052982 3079473 3994992 4105964 4189193 6158946 8211928 8378386 9238419 12317892 12567579 16423856 16756772 18476838 24635784 25135158 33513544 36953676 37702737 49271568 50270316 67027088 73907352 75405474 100540632 147814704 150810948 155000141 201081264 301621896 310000282 465000423 603243792 620000564 930000846 1240001128 1395001269 1860001692 2480002256 2790002538 3720003384 5580005076 7440006768 11160010152 22320020304