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1232252490 = 235726071381
BaseRepresentation
bin100100101110010…
…1010111001001010
310011212200220122010
41021130222321022
510010424034430
6322135240350
742351654600
oct11134527112
93155626563
101232252490
11582635597
122a48190b6
131683a77b1
14b9927870
15732abcb0
hex4972ae4a

1232252490 has 96 divisors (see below), whose sum is σ = 3448410624. Its totient is φ = 280990080.

The previous prime is 1232252479. The next prime is 1232252501. The reversal of 1232252490 is 942522321.

It is an interprime number because it is at equal distance from previous prime (1232252479) and next prime (1232252501).

It is a super-2 number, since 2×12322524902 = 3036892398222400200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 891600 + ... + 892980.

It is an arithmetic number, because the mean of its divisors is an integer number (35920944).

Almost surely, 21232252490 is an apocalyptic number.

1232252490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232252490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724205312).

1232252490 is an abundant number, since it is smaller than the sum of its proper divisors (2216158134).

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

1232252490 is a wasteful number, since it uses less digits than its factorization.

1232252490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1232252490 is about 35103.4541035494. The cubic root of 1232252490 is about 1072.0949117022.

The spelling of 1232252490 in words is "one billion, two hundred thirty-two million, two hundred fifty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 607 735 1214 1381 1470 1821 2762 3035 3642 4143 4249 6070 6905 8286 8498 9105 9667 12747 13810 18210 19334 20715 21245 25494 29001 29743 41430 42490 48335 58002 59486 63735 67669 89229 96670 127470 135338 145005 148715 178458 203007 290010 297430 338345 406014 446145 676690 838267 892290 1015035 1676534 2030070 2514801 4191335 5029602 5867869 8382670 11735738 12574005 17603607 25148010 29339345 35207214 41075083 58678690 82150166 88018035 123225249 176036070 205375415 246450498 410750830 616126245 1232252490