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220235040504 = 23333743640859
BaseRepresentation
bin1100110100011100001…
…0000000011011111000
3210001110120002020201000
43031013002000123320
512102020132244004
6245101413125000
721624425646123
oct3150702003370
9701416066630
10220235040504
1185445a36676
1236824329760
13179ca5cc41b
14a9336ab3ba
155adeb6bc39
hex33470806f8

220235040504 has 128 divisors (see below), whose sum is σ = 642910752000. Its totient is φ = 69766365312.

The previous prime is 220235040503. The next prime is 220235040521. The reversal of 220235040504 is 405040532022.

It is a happy number.

220235040504 is a `hidden beast` number, since 2 + 20 + 235 + 0 + 405 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220235040503) 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, 23227 + ... + 664085.

It is an arithmetic number, because the mean of its divisors is an integer number (5022740250).

Almost surely, 2220235040504 is an apocalyptic number.

220235040504 is a gapful number since it is divisible by the number (24) 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 220235040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321455376000).

220235040504 is an abundant number, since it is smaller than the sum of its proper divisors (422675711496).

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

220235040504 is a wasteful number, since it uses less digits than its factorization.

220235040504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640954 (or 640944 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 220235040504 its reverse (405040532022), we get a palindrome (625275572526).

The spelling of 220235040504 in words is "two hundred twenty billion, two hundred thirty-five million, forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 86 108 111 129 148 172 216 222 258 296 333 344 387 444 516 666 774 888 999 1032 1161 1332 1548 1591 1998 2322 2664 3096 3182 3996 4644 4773 6364 7992 9288 9546 12728 14319 19092 28638 38184 42957 57276 85914 114552 171828 343656 640859 1281718 1922577 2563436 3845154 5126872 5767731 7690308 11535462 15380616 17303193 23070924 23711783 27556937 34606386 46141848 47423566 55113874 69212772 71135349 82670811 94847132 110227748 138425544 142270698 165341622 189694264 213406047 220455496 248012433 284541396 330683244 426812094 496024866 569082792 640218141 661366488 744037299 853624188 992049732 1019606669 1280436282 1488074598 1707248376 1984099464 2039213338 2560872564 2976149196 3058820007 4078426676 5121745128 5952298392 6117640014 8156853352 9176460021 12235280028 18352920042 24470560056 27529380063 36705840084 55058760126 73411680168 110117520252 220235040504