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223489386252 = 2233111039181061
BaseRepresentation
bin1101000000100100000…
…0010110011100001100
3210100212100201010211000
43100021000112130030
512130201240330002
6250400345100300
722101163303446
oct3201100263414
9710770633730
10223489386252
1186865a28810
1237392187690
13180c88b83b2
14ab619a1496
155c3070261c
hex340901670c

223489386252 has 96 divisors (see below), whose sum is σ = 632703052800. Its totient is φ = 67658500800.

The previous prime is 223489386247. The next prime is 223489386257. The reversal of 223489386252 is 252683984322.

It is a happy number.

223489386252 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 8 + 9 + 3 + 8 + 625 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (223489386247) and next prime (223489386257).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (223489386257) 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 31 ways as a sum of consecutive naturals, for example, 1143802 + ... + 1324862.

It is an arithmetic number, because the mean of its divisors is an integer number (6590656800).

Almost surely, 2223489386252 is an apocalyptic number.

223489386252 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 223489386252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316351526400).

223489386252 is an abundant number, since it is smaller than the sum of its proper divisors (409213666548).

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

223489386252 is a wasteful number, since it uses less digits than its factorization.

223489386252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182124 (or 182116 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 223489386252 in words is "two hundred twenty-three billion, four hundred eighty-nine million, three hundred eighty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1039 1188 2078 3117 4156 6234 9351 11429 12468 18702 22858 28053 34287 37404 45716 56106 68574 102861 112212 137148 181061 205722 308583 362122 411444 543183 617166 724244 1086366 1234332 1629549 1991671 2172732 3259098 3983342 4888647 5975013 6518196 7966684 9777294 11950026 17925039 19554588 23900052 35850078 53775117 71700156 107550234 188122379 215100468 376244758 564367137 752489516 1128734274 1693101411 2069346169 2257468548 3386202822 4138692338 5079304233 6208038507 6772405644 8277384676 10158608466 12416077014 18624115521 20317216932 24832154028 37248231042 55872346563 74496462084 111744693126 223489386252