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214748153430260 = 22589120645030017
BaseRepresentation
bin110000110100111111110011…
…011001101100000011110100
31001011100201112001020010012212
4300310333303121230003310
5211121413204234232020
62040421534553032552
763143020302140252
oct6064776331540364
91034321461203185
10214748153430260
11624751a915848a
122010376a0b5758
1392a98829a5758
143b05c1a76b5d2
1519c615b732cc5
hexc34ff366c0f4

214748153430260 has 24 divisors (see below), whose sum is σ = 456038213468040. Its totient is φ = 84934101131264.

The previous prime is 214748153430227. The next prime is 214748153430271. The reversal of 214748153430260 is 62034351847412.

It can be written as a sum of positive squares in 4 ways, for example, as 1239187523344 + 213508965906916 = 1113188^2 + 14611946^2 .

It is a super-2 number, since 2×2147481534302602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214748153430199 and 214748153430208.

It is a congruent number.

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, 60322513229 + ... + 60322516788.

It is an arithmetic number, because the mean of its divisors is an integer number (19001592227835).

Almost surely, 2214748153430260 is an apocalyptic number.

214748153430260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214748153430260 is an abundant number, since it is smaller than the sum of its proper divisors (241290060037780).

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

214748153430260 is a wasteful number, since it uses less digits than its factorization.

214748153430260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120645030115 (or 120645030113 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 214748153430260 in words is "two hundred fourteen trillion, seven hundred forty-eight billion, one hundred fifty-three million, four hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 120645030017 241290060034 482580120068 603225150085 1206450300170 2412900600340 10737407671513 21474815343026 42949630686052 53687038357565 107374076715130 214748153430260