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220211512352 = 25133714306881
BaseRepresentation
bin1100110100010110100…
…0010000010000100000
3210001101220210220010222
43031011220100100200
512101443121343402
6245055212542212
721624021653666
oct3150550202040
9701356726128
10220211512352
1185433726617
1236818481968
13179c5782140
14a930504c36
155adca707a2
hex3345a10420

220211512352 has 48 divisors (see below), whose sum is σ = 479509457112. Its totient is φ = 98889154560.

The previous prime is 220211512331. The next prime is 220211512361. The reversal of 220211512352 is 253215112022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146685936016 + 73525576336 = 382996^2 + 271156^2 .

It is a super-2 number, since 2×2202115123522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7138049 + ... + 7168832.

Almost surely, 2220211512352 is an apocalyptic number.

It is an amenable number.

220211512352 is an abundant number, since it is smaller than the sum of its proper divisors (259297944760).

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

220211512352 is a wasteful number, since it uses less digits than its factorization.

220211512352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14306941 (or 14306933 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 220211512352 its reverse (253215112022), we get a palindrome (473426624374).

The spelling of 220211512352 in words is "two hundred twenty billion, two hundred eleven million, five hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 14306881 28613762 57227524 114455048 185989453 228910096 371978906 457820192 529354597 743957812 1058709194 1487915624 2117418388 2975831248 4234836776 5951662496 6881609761 8469673552 13763219522 16939347104 27526439044 55052878088 110105756176 220211512352