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23045220 = 2232511103113
BaseRepresentation
bin101011111101…
…0010001100100
31121100211002200
41113322101210
521344421340
62141534500
7366611142
oct127722144
947324080
1023045220
1112010240
127874430
134a0b533
1430bc592
152053330
hex15fa464

23045220 has 144 divisors (see below), whose sum is σ = 77680512. Its totient is φ = 5483520.

The previous prime is 23045219. The next prime is 23045221. The reversal of 23045220 is 2254032.

It is an interprime number because it is at equal distance from previous prime (23045219) and next prime (23045221).

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 = 23045193 and 23045202.

It is not an unprimeable number, because it can be changed into a prime (23045221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 203884 + ... + 203996.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 223045220 is an apocalyptic number.

23045220 is a gapful number since it is divisible by the number (20) 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 23045220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840256).

23045220 is an abundant number, since it is smaller than the sum of its proper divisors (54635292).

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

23045220 is a wasteful number, since it uses less digits than its factorization.

23045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23045220 is about 4800.5437192051. The cubic root of 23045220 is about 284.5729523002.

Adding to 23045220 its reverse (2254032), we get a palindrome (25299252).

The spelling of 23045220 in words is "twenty-three million, forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 103 110 113 132 165 180 198 206 220 226 309 330 339 396 412 452 495 515 565 618 660 678 927 990 1017 1030 1130 1133 1236 1243 1356 1545 1695 1854 1980 2034 2060 2260 2266 2486 3090 3390 3399 3708 3729 4068 4532 4635 4972 5085 5665 6180 6215 6780 6798 7458 9270 10170 10197 11187 11330 11639 12430 13596 14916 16995 18540 18645 20340 20394 22374 22660 23278 24860 33990 34917 37290 40788 44748 46556 50985 55935 58195 67980 69834 74580 101970 104751 111870 116390 128029 139668 174585 203940 209502 223740 232780 256058 349170 384087 419004 512116 523755 640145 698340 768174 1047510 1152261 1280290 1536348 1920435 2095020 2304522 2560580 3840870 4609044 5761305 7681740 11522610 23045220