Search a number
-
+
22345312 = 2511229199
BaseRepresentation
bin101010100111…
…1011001100000
31120001021000011
41111033121200
521210022222
62114534304
7360634453
oct125173140
946037004
1022345312
1111682400
127597394
134824aa2
142d7949a
151e65c77
hex154f660

22345312 has 72 divisors (see below), whose sum is σ = 50274000. Its totient is φ = 9757440.

The previous prime is 22345303. The next prime is 22345321. The reversal of 22345312 is 21354322.

It is an interprime number because it is at equal distance from previous prime (22345303) and next prime (22345321).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112189 + ... + 112387.

It is an arithmetic number, because the mean of its divisors is an integer number (698250).

Almost surely, 222345312 is an apocalyptic number.

22345312 is a gapful number since it is divisible by the number (22) 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 22345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137000).

22345312 is an abundant number, since it is smaller than the sum of its proper divisors (27928688).

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

22345312 is a wasteful number, since it uses less digits than its factorization.

22345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 22345312 is about 4727.0828213603. The cubic root of 22345312 is about 281.6623559829.

Adding to 22345312 its reverse (21354322), we get a palindrome (43699634).

The spelling of 22345312 in words is "twenty-two million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 199 232 242 319 352 398 464 484 638 796 928 968 1276 1592 1936 2189 2552 3184 3509 3872 4378 5104 5771 6368 7018 8756 10208 11542 14036 17512 23084 24079 28072 35024 46168 48158 56144 63481 70048 92336 96316 112288 126962 184672 192632 253924 385264 507848 698291 770528 1015696 1396582 2031392 2793164 5586328 11172656 22345312