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220303214432 = 257341947903
BaseRepresentation
bin1100110100101100011…
…0000100011101100000
3210001122022100211202022
43031023012010131200
512102140110330212
6245112250241012
721626214266000
oct3151306043540
9701568324668
10220303214432
118548046a764
1236843126168
1317a0b77ba22
14a93c776000
155ae5b36772
hex334b184760

220303214432 has 96 divisors (see below), whose sum is σ = 507015936000. Its totient is φ = 94188361344.

The previous prime is 220303214431. The next prime is 220303214477. The reversal of 220303214432 is 234412303022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220303214431) 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, 4574993 + ... + 4622895.

It is an arithmetic number, because the mean of its divisors is an integer number (5281416000).

Almost surely, 2220303214432 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 220303214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253507968000).

220303214432 is an abundant number, since it is smaller than the sum of its proper divisors (286712721568).

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

220303214432 is an equidigital number, since it uses as much as digits as its factorization.

220303214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48353 (or 48331 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 220303214432 its reverse (234412303022), we get a palindrome (454715517454).

The spelling of 220303214432 in words is "two hundred twenty billion, three hundred three million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 419 686 784 838 1372 1568 1676 2744 2933 3352 5488 5866 6704 10976 11732 13408 20531 23464 41062 46928 47903 82124 93856 95806 143717 164248 191612 287434 328496 335321 383224 574868 656992 670642 766448 1149736 1341284 1532896 2299472 2347247 2682568 4598944 4694494 5365136 9388988 10730272 16430729 18777976 20071357 32861458 37555952 40142714 65722916 75111904 80285428 131445832 140499499 160570856 262891664 280998998 321141712 525783328 561997996 642283424 983496493 1123995992 1966992986 2247991984 3933985972 4495983968 6884475451 7867971944 13768950902 15735943888 27537901804 31471887776 55075803608 110151607216 220303214432