Search a number
-
+
220480471488 = 2632353942031
BaseRepresentation
bin1100110101010110101…
…0010000000111000000
3210002002122220102201110
43031111222100013000
512103021000041423
6245142021403320
721633466041264
oct3152552200700
9702078812643
10220480471488
11855615295a2
1236892569540
1317a39402264
14a9581180a4
155b0649c193
hex3355a901c0

220480471488 has 112 divisors (see below), whose sum is σ = 620203723776. Its totient is φ = 68971668480.

The previous prime is 220480471469. The next prime is 220480471489. The reversal of 220480471488 is 884174084022.

It is a super-2 number, since 2×2204804714882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220480471489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236968 + ... + 705063.

It is an arithmetic number, because the mean of its divisors is an integer number (5537533248).

Almost surely, 2220480471488 is an apocalyptic number.

It is an amenable number.

220480471488 is an abundant number, since it is smaller than the sum of its proper divisors (399723252288).

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

220480471488 is a wasteful number, since it uses less digits than its factorization.

220480471488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942122 (or 942112 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 220480471488 in words is "two hundred twenty billion, four hundred eighty million, four hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 138 159 184 192 212 276 318 368 424 552 636 736 848 1104 1219 1272 1472 1696 2208 2438 2544 3392 3657 4416 4876 5088 7314 9752 10176 14628 19504 29256 39008 58512 78016 117024 234048 942031 1884062 2826093 3768124 5652186 7536248 11304372 15072496 21666713 22608744 30144992 43333426 45217488 49927643 60289984 65000139 86666852 90434976 99855286 130000278 149782929 173333704 180869952 199710572 260000556 299565858 346667408 399421144 520001112 599131716 693334816 798842288 1040002224 1148335789 1198263432 1386669632 1597684576 2080004448 2296671578 2396526864 3195369152 3445007367 4160008896 4593343156 4793053728 6890014734 9186686312 9586107456 13780029468 18373372624 27560058936 36746745248 55120117872 73493490496 110240235744 220480471488