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2152482390 = 233543397467
BaseRepresentation
bin1000000001001100…
…0100011001010110
312120000021102202000
42000103010121112
513402013414030
6553331100130
7104224540602
oct20023043126
95500242660
102152482390
11a05024973
12500a41646
13283c35126
14165c2c502
15c8e82860
hex804c4656

2152482390 has 128 divisors (see below), whose sum is σ = 5900843520. Its totient is φ = 558036864.

The previous prime is 2152482379. The next prime is 2152482391. The reversal of 2152482390 is 932842512.

It is a happy number.

2152482390 is a `hidden beast` number, since 21 + 5 + 248 + 2 + 390 = 666.

It is a super-2 number, since 2×21524823902 = 9266360878520224200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152482391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4608937 + ... + 4609403.

It is an arithmetic number, because the mean of its divisors is an integer number (46100340).

Almost surely, 22152482390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152482390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950421760).

2152482390 is an abundant number, since it is smaller than the sum of its proper divisors (3748361130).

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

2152482390 is a wasteful number, since it uses less digits than its factorization.

2152482390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2152482390 is about 46394.8530550534. The cubic root of 2152482390 is about 1291.1594227412.

The spelling of 2152482390 in words is "two billion, one hundred fifty-two million, four hundred eighty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 397 430 467 645 774 794 934 1161 1191 1290 1401 1935 1985 2322 2335 2382 2802 3573 3870 3970 4203 4670 5805 5955 7005 7146 8406 10719 11610 11910 12609 14010 17071 17865 20081 21015 21438 25218 34142 35730 40162 42030 51213 53595 60243 63045 85355 100405 102426 107190 120486 126090 153639 170710 180729 185399 200810 256065 301215 307278 361458 370798 460917 512130 542187 556197 602430 768195 903645 921834 926995 1084374 1112394 1536390 1668591 1807290 1853990 2304585 2710935 2780985 3337182 4609170 5005773 5421870 5561970 7972157 8342955 10011546 15944314 16685910 23916471 25028865 39860785 47832942 50057730 71749413 79721570 119582355 143498826 215248239 239164710 358747065 430496478 717494130 1076241195 2152482390