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22052464 = 2471943241
BaseRepresentation
bin101010000011…
…1111001110000
31112111101021221
41110013321300
521121134324
62104354424
7355304620
oct124077160
945441257
1022052464
11114a2385
127475a14
1347516c5
142d00880
151e090e4
hex1507e70

22052464 has 80 divisors (see below), whose sum is σ = 52814080. Its totient is φ = 8709120.

The previous prime is 22052461. The next prime is 22052467. The reversal of 22052464 is 46425022.

It is an interprime number because it is at equal distance from previous prime (22052461) and next prime (22052467).

It is a super-2 number, since 2×220524642 = 972622336942592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052461) 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, 91384 + ... + 91624.

It is an arithmetic number, because the mean of its divisors is an integer number (660176).

Almost surely, 222052464 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 22052464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26407040).

22052464 is an abundant number, since it is smaller than the sum of its proper divisors (30761616).

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

22052464 is a wasteful number, since it uses less digits than its factorization.

22052464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 22052464 is about 4696.0051107298. The cubic root of 22052464 is about 280.4264928980.

Adding to 22052464 its reverse (46425022), we get a palindrome (68477486).

The spelling of 22052464 in words is "twenty-two million, fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 172 241 266 301 304 344 482 532 602 688 817 964 1064 1204 1634 1687 1928 2128 2408 3268 3374 3856 4579 4816 5719 6536 6748 9158 10363 11438 13072 13496 18316 20726 22876 26992 32053 36632 41452 45752 64106 72541 73264 82904 91504 128212 145082 165808 196897 256424 290164 393794 512848 580328 787588 1160656 1378279 1575176 2756558 3150352 5513116 11026232 22052464