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232422142240 = 25517372309441
BaseRepresentation
bin1101100001110101110…
…0000111000100100000
3211012220220021011101101
43120131130013010200
512302000032022430
6254435005044144
722535431420021
oct3303534070440
9735826234341
10232422142240
118a62a270582
1239065856654
1318bc0453422
14b36c0b0c48
1560a4a49dca
hex361d707120

232422142240 has 96 divisors (see below), whose sum is σ = 597110847984. Its totient is φ = 85135196160.

The previous prime is 232422142231. The next prime is 232422142273. The reversal of 232422142240 is 42241224232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 203967850384 + 28454291856 = 451628^2 + 168684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232422142199 and 232422142208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054081 + ... + 1255360.

Almost surely, 2232422142240 is an apocalyptic number.

232422142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232422142240 is an abundant number, since it is smaller than the sum of its proper divisors (364688705744).

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

232422142240 is a wasteful number, since it uses less digits than its factorization.

232422142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309510 (or 2309502 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 232422142240 its reverse (42241224232), we get a palindrome (274663366472).

The spelling of 232422142240 in words is "two hundred thirty-two billion, four hundred twenty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 1184 1258 1360 1480 2516 2720 2960 3145 5032 5920 6290 10064 12580 20128 25160 50320 100640 2309441 4618882 9237764 11547205 18475528 23094410 36951056 39260497 46188820 73902112 78520994 85449317 92377640 157041988 170898634 184755280 196302485 314083976 341797268 369510560 392604970 427246585 628167952 683594536 785209940 854493170 1256335904 1367189072 1452638389 1570419880 1708986340 2734378144 2905276778 3140839760 3417972680 5810553556 6281679520 6835945360 7263191945 11621107112 13671890720 14526383890 23242214224 29052767780 46484428448 58105535560 116211071120 232422142240