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213299880336 = 2434128292
BaseRepresentation
bin1100011010100110101…
…0011110000110010000
3202101120020100121110000
43012221222132012100
511443314232132321
6241553312410000
721260525032224
oct3065152360620
9671506317400
10213299880336
1182507249144
1235409846900
131716387935a
14a4765cc784
155835dae826
hex31a9a9e190

213299880336 has 75 divisors (see below), whose sum is σ = 617399862321. Its totient is φ = 71094417984.

The previous prime is 213299880317. The next prime is 213299880397. The reversal of 213299880336 is 633088992312.

It is a happy number.

The square root of 213299880336 is 461844.

It is a perfect power (a square), and thus also a powerful number.

213299880336 is a `hidden beast` number, since 2 + 13 + 299 + 8 + 8 + 0 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167572334736 + 45727545600 = 409356^2 + 213840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16619970 + ... + 16632798.

Almost surely, 2213299880336 is an apocalyptic number.

213299880336 is the 461844-th square number.

It is an amenable number.

213299880336 is an abundant number, since it is smaller than the sum of its proper divisors (404099981985).

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

213299880336 is an frugal number, since it uses more digits than its factorization.

213299880336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25678 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 213299880336 in words is "two hundred thirteen billion, two hundred ninety-nine million, eight hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 12829 25658 38487 51316 76974 102632 115461 153948 205264 230922 307896 346383 461844 615792 692766 923688 1039149 1385532 1847376 2078298 2771064 4156596 5542128 8313192 16626384 164583241 329166482 493749723 658332964 987499446 1316665928 1481249169 1974998892 2633331856 2962498338 3949997784 4443747507 5924996676 7899995568 8887495014 11849993352 13331242521 17774990028 23699986704 26662485042 35549980056 53324970084 71099960112 106649940168 213299880336