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220352432132 = 227193115785103
BaseRepresentation
bin1100110100111000000…
…1110100100000000100
3210001202201222100202002
43031032001310200010
512102240210312012
6245121205204432
721630352524560
oct3151601644004
9701681870662
10220352432132
11854a6226748
1236857700718
1317a18a22021
14a9451086a0
155aea1097c2
hex334e074804

220352432132 has 96 divisors (see below), whose sum is σ = 481920122880. Its totient is φ = 86027909760.

The previous prime is 220352432129. The next prime is 220352432159. The reversal of 220352432132 is 231234253022.

It is a junction number, because it is equal to n+sod(n) for n = 220352432095 and 220352432104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2546693 + ... + 2631795.

It is an arithmetic number, because the mean of its divisors is an integer number (5020001280).

Almost surely, 2220352432132 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 220352432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240960061440).

220352432132 is an abundant number, since it is smaller than the sum of its proper divisors (261567690748).

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

220352432132 is a wasteful number, since it uses less digits than its factorization.

220352432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85321 (or 85319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 220352432132 its reverse (231234253022), we get a palindrome (451586685154).

The spelling of 220352432132 in words is "two hundred twenty billion, three hundred fifty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 157 217 266 314 434 532 589 628 868 1099 1178 2198 2356 2983 4123 4396 4867 5966 8246 9734 11932 16492 19468 20881 34069 41762 68138 83524 85103 92473 136276 170206 184946 340412 369892 595721 647311 1191442 1294622 1616957 2382884 2589244 2638193 3233914 5276386 6467828 10552772 11318699 13361171 18467351 22637398 26722342 36934702 45274796 50125667 53444684 73869404 93528197 100251334 187056394 200502668 253862249 350879669 374112788 414196301 507724498 701759338 828392602 1015448996 1403518676 1656785204 1777035743 2899374107 3554071486 5798748214 7108142972 7869729719 11597496428 15739459438 31478918876 55088108033 110176216066 220352432132