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22780368 = 24321343283
BaseRepresentation
bin101011011100…
…1100111010000
31120212100210100
41112321213100
521312432433
62132132400
7364426032
oct126714720
946770710
1022780368
111194a256
127767100
134947b10
14304dc52
151eeeb13
hex15b99d0

22780368 has 120 divisors (see below), whose sum is σ = 70502432. Its totient is φ = 6822144.

The previous prime is 22780343. The next prime is 22780393. The reversal of 22780368 is 86308722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22780343) and next prime (22780393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80355 + ... + 80637.

Almost surely, 222780368 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 22780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251216).

22780368 is an abundant number, since it is smaller than the sum of its proper divisors (47722064).

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

22780368 is a wasteful number, since it uses less digits than its factorization.

22780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22780368 is about 4772.8783768288. The cubic root of 22780368 is about 283.4785777417.

The spelling of 22780368 in words is "twenty-two million, seven hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 283 312 344 387 468 516 559 566 624 688 774 849 936 1032 1118 1132 1548 1677 1698 1872 2064 2236 2264 2547 3096 3354 3396 3679 4472 4528 5031 5094 6192 6708 6792 7358 8944 10062 10188 11037 12169 13416 13584 14716 20124 20376 22074 24338 26832 29432 33111 36507 40248 40752 44148 48676 58864 66222 73014 80496 88296 97352 109521 132444 146028 158197 176592 194704 219042 264888 292056 316394 438084 474591 529776 584112 632788 876168 949182 1265576 1423773 1752336 1898364 2531152 2847546 3796728 5695092 7593456 11390184 22780368