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51223320 = 23335431103
BaseRepresentation
bin1100001101100…
…1101100011000
310120101102012000
43003121230120
5101103121240
65025521000
71161251061
oct303315430
9116342160
1051223320
1126a06925
12151a3160
13a7c6175
146b35568
15476c430
hex30d9b18

51223320 has 128 divisors (see below), whose sum is σ = 174873600. Its totient is φ = 13329792.

The previous prime is 51223313. The next prime is 51223321. The reversal of 51223320 is 2332215.

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

It is a junction number, because it is equal to n+sod(n) for n = 51223293 and 51223302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51223321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45889 + ... + 46991.

It is an arithmetic number, because the mean of its divisors is an integer number (1366200).

Almost surely, 251223320 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 51223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87436800).

51223320 is an abundant number, since it is smaller than the sum of its proper divisors (123650280).

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

51223320 is a wasteful number, since it uses less digits than its factorization.

51223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 51223320 is about 7157.0468770297. The cubic root of 51223320 is about 371.3834740964.

Adding to 51223320 its reverse (2332215), we get a palindrome (53555535).

It can be divided in two parts, 512 and 23320, that added together give a palindrome (23832).

The spelling of 51223320 in words is "fifty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1103 1161 1290 1548 1720 1935 2206 2322 2580 3096 3309 3870 4412 4644 5160 5515 5805 6618 7740 8824 9288 9927 11030 11610 13236 15480 16545 19854 22060 23220 26472 29781 33090 39708 44120 46440 47429 49635 59562 66180 79416 94858 99270 119124 132360 142287 148905 189716 198540 237145 238248 284574 297810 379432 397080 426861 474290 569148 595620 711435 853722 948580 1138296 1191240 1280583 1422870 1707444 1897160 2134305 2561166 2845740 3414888 4268610 5122332 5691480 6402915 8537220 10244664 12805830 17074440 25611660 51223320