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1232141220 = 2236584509
BaseRepresentation
bin100100101110000…
…1111101110100100
310011212111021000000
41021130033232210
510010412004340
6322133021300
742351012312
oct11134175644
93155437000
101232141220
11582569a32
122a4784830
13168368c5b
14b98d90b2
1573288d30
hex4970fba4

1232141220 has 84 divisors (see below), whose sum is σ = 3879516060. Its totient is φ = 328567104.

The previous prime is 1232141213. The next prime is 1232141233. The reversal of 1232141220 is 221412321.

It is a happy number.

1232141220 is a `hidden beast` number, since 1 + 232 + 1 + 412 + 20 = 666.

1232141220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 646888356 + 585252864 = 25434^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1232141193 and 1232141202.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27675 + ... + 56834.

It is an arithmetic number, because the mean of its divisors is an integer number (46184715).

Almost surely, 21232141220 is an apocalyptic number.

1232141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232141220 is an abundant number, since it is smaller than the sum of its proper divisors (2647374840).

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

1232141220 is an equidigital number, since it uses as much as digits as its factorization.

1232141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84536 (or 84519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1232141220 is about 35101.8691809995. The cubic root of 1232141220 is about 1072.0626413700.

Adding to 1232141220 its reverse (221412321), we get a palindrome (1453553541).

The spelling of 1232141220 in words is "one billion, two hundred thirty-two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 84509 169018 253527 338036 422545 507054 760581 845090 1014108 1267635 1521162 1690180 2281743 2535270 3042324 3802905 4563486 5070540 6845229 7605810 9126972 11408715 13690458 15211620 20535687 22817430 27380916 34226145 41071374 45634860 61607061 68452290 82142748 102678435 123214122 136904580 205356870 246428244 308035305 410713740 616070610 1232141220