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2325269790 = 2325193263509
BaseRepresentation
bin1000101010011000…
…1100110100011110
320000001101221111100
42022212030310132
514230232113130
61022422333530
7111423316134
oct21246146436
96001357440
102325269790
11a93610678
1254a88a2a6
132b09820ac
14180b69754
15d9213c60
hex8a98cd1e

2325269790 has 96 divisors (see below), whose sum is σ = 6112117440. Its totient is φ = 613306368.

The previous prime is 2325269759. The next prime is 2325269813. The reversal of 2325269790 is 979625232.

It is a happy number.

2325269790 is a `hidden beast` number, since 2 + 32 + 526 + 9 + 7 + 90 = 666.

It is a super-5 number, since 5×23252697905 (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4568056 + ... + 4568564.

It is an arithmetic number, because the mean of its divisors is an integer number (63667890).

Almost surely, 22325269790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325269790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056058720).

2325269790 is an abundant number, since it is smaller than the sum of its proper divisors (3786847650).

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

2325269790 is a wasteful number, since it uses less digits than its factorization.

2325269790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2325269790 is about 48221.0513157895. The cubic root of 2325269790 is about 1324.8227677980.

The spelling of 2325269790 in words is "two billion, three hundred twenty-five million, two hundred sixty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 263 386 509 526 579 789 965 1018 1158 1315 1527 1578 1737 1930 2367 2545 2630 2895 3054 3474 3945 4581 4734 5090 5790 7635 7890 8685 9162 11835 15270 17370 22905 23670 45810 50759 98237 101518 133867 152277 196474 253795 267734 294711 304554 401601 456831 491185 507590 589422 669335 761385 803202 884133 913662 982370 1204803 1338670 1473555 1522770 1768266 2008005 2284155 2409606 2947110 4016010 4420665 4568310 6024015 8841330 12048030 25836331 51672662 77508993 129181655 155017986 232526979 258363310 387544965 465053958 775089930 1162634895 2325269790