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1233213240 = 233571977269
BaseRepresentation
bin100100110000001…
…0101011100111000
310011221111201112110
41021200111130320
510011200310430
6322212012320
742363065610
oct11140253470
93157451473
101233213240
115831313a6
122a50010a0
13168652b9c
14b9ad7a40
15733eb7b0
hex49815738

1233213240 has 128 divisors (see below), whose sum is σ = 4450752000. Its totient is φ = 267038208.

The previous prime is 1233213239. The next prime is 1233213257. The reversal of 1233213240 is 423123321.

It is a super-2 number, since 2×12332132402 = 3041629790622595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22675 + ... + 54594.

It is an arithmetic number, because the mean of its divisors is an integer number (34771500).

Almost surely, 21233213240 is an apocalyptic number.

1233213240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233213240 is an abundant number, since it is smaller than the sum of its proper divisors (3217538760).

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

1233213240 is a wasteful number, since it uses less digits than its factorization.

1233213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77309 (or 77305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1233213240 is about 35117.1359880045. The cubic root of 1233213240 is about 1072.3734659812.

Adding to 1233213240 its reverse (423123321), we get a palindrome (1656336561).

The spelling of 1233213240 in words is "one billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 77269 154538 231807 309076 386345 463614 540883 618152 772690 927228 1081766 1159035 1468111 1545380 1622649 1854456 2163532 2318070 2704415 2936222 3090760 3245298 4327064 4404333 4636140 5408830 5872444 6490596 7340555 8113245 8808666 9272280 10276777 10817660 11744888 12981192 14681110 16226490 17617332 20553554 21635320 22021665 29362220 30830331 32452980 35234664 41107108 44043330 51383885 58724440 61660662 64905960 82214216 88086660 102767770 123321324 154151655 176173320 205535540 246642648 308303310 411071080 616606620 1233213240