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334225002852 = 223213714155989
BaseRepresentation
bin1001101110100010101…
…11001101000101100100
31011221200201022022110100
410313101113031011210
520433443100042402
6413312453424100
733101256435636
oct4672127150544
91157621268410
10334225002852
11119820334524
125493733b030
1325695614ca0
1412268750a56
158a621a571c
hex4dd15cd164

334225002852 has 36 divisors (see below), whose sum is σ = 909834731260. Its totient is φ = 102838462272.

The previous prime is 334225002851. The next prime is 334225002869. The reversal of 334225002852 is 258200522433.

334225002852 is a `hidden beast` number, since 33 + 42 + 2 + 500 + 2 + 85 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51218026596 + 283006976256 = 226314^2 + 531984^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3342250028522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (334225002851) by changing a digit.

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, 357077527 + ... + 357078462.

Almost surely, 2334225002852 is an apocalyptic number.

It is an amenable number.

334225002852 is an abundant number, since it is smaller than the sum of its proper divisors (575609728408).

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

334225002852 is a wasteful number, since it uses less digits than its factorization.

334225002852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714156012 (or 714156007 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 334225002852 in words is "three hundred thirty-four billion, two hundred twenty-five million, two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 714155989 1428311978 2142467967 2856623956 4284935934 6427403901 8569871868 9284027857 12854807802 18568055714 25709615604 27852083571 37136111428 55704167142 83556250713 111408334284 167112501426 334225002852