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220552020400 = 2452678229553
BaseRepresentation
bin1100110101100111101…
…1001100000110110000
3210002021122112111101011
43031121323030012300
512103142304123100
6245153055120304
721635325145555
oct3153173140660
9702248474334
10220552020400
1185598958328
12368b2513094
1317a4b193aaa
14a963820a2c
155b0c8d1bba
hex3359ecc1b0

220552020400 has 60 divisors (see below), whose sum is σ = 537784894792. Its totient is φ = 86904069120.

The previous prime is 220552020389. The next prime is 220552020431. The reversal of 220552020400 is 4020255022.

It is a happy number.

220552020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4087977 + ... + 4141576.

Almost surely, 2220552020400 is an apocalyptic number.

220552020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220552020400 is an abundant number, since it is smaller than the sum of its proper divisors (317232874392).

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

220552020400 is a wasteful number, since it uses less digits than its factorization.

220552020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229638 (or 8229627 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 220552020400 its reverse (4020255022), we get a palindrome (224572275422).

The spelling of 220552020400 in words is "two hundred twenty billion, five hundred fifty-two million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 1072 1340 1675 2680 3350 5360 6700 13400 26800 8229553 16459106 32918212 41147765 65836424 82295530 131672848 164591060 205738825 329182120 411477650 551380051 658364240 822955300 1102760102 1645910600 2205520204 2756900255 3291821200 4411040408 5513800510 8822080816 11027601020 13784501275 22055202040 27569002550 44110404080 55138005100 110276010200 220552020400