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220304132520 = 233531496711923
BaseRepresentation
bin1100110100101100100…
…1100100100110101000
3210001122101002111010120
43031023021210212220
512102140324220040
6245112322043240
721626225141433
oct3151311444650
9701571074116
10220304132520
1185480a3750a
12368434a9520
1317a0ba10884
14a93c93481a
155ae5c687d0
hex334b2649a8

220304132520 has 128 divisors (see below), whose sum is σ = 682426736640. Its totient is φ = 56836465920.

The previous prime is 220304132501. The next prime is 220304132549. The reversal of 220304132520 is 25231403022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18471279 + ... + 18483201.

It is an arithmetic number, because the mean of its divisors is an integer number (5331458880).

Almost surely, 2220304132520 is an apocalyptic number.

220304132520 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 220304132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341213368320).

220304132520 is an abundant number, since it is smaller than the sum of its proper divisors (462122604120).

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

220304132520 is a wasteful number, since it uses less digits than its factorization.

220304132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 220304132520 its reverse (25231403022), we get a palindrome (245535535542).

The spelling of 220304132520 in words is "two hundred twenty billion, three hundred four million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4967 9934 11923 14901 19868 23846 24835 29802 35769 39736 47692 49670 59604 59615 71538 74505 95384 99340 119208 119230 143076 149010 153977 178845 198680 238460 286152 298020 307954 357690 369613 461931 476920 596040 615908 715380 739226 769885 923862 1108839 1231816 1430760 1478452 1539770 1847724 1848065 2217678 2309655 2956904 3079540 3695448 3696130 4435356 4619310 5544195 6159080 7392260 8870712 9238620 11088390 14784520 18477240 22176780 44353560 59221541 118443082 177664623 236886164 296107705 355329246 473772328 592215410 710658492 888323115 1184430820 1421316984 1776646230 1835867771 2368861640 3553292460 3671735542 5507603313 7106584920 7343471084 9179338855 11015206626 14686942168 18358677710 22030413252 27538016565 36717355420 44060826504 55076033130 73434710840 110152066260 220304132520