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232202043392 = 217116
BaseRepresentation
bin1101100001000001010…
…0100000000000000000
3211012100120002222112012
43120100110200000000
512301022210342032
6254401103352052
722530116542304
oct3302024400000
9735316088465
10232202043392
118a527000000
1239003bb2628
1318b8697ca17
14b34ab79d04
1560905706b2
hex3610520000

232202043392 has 126 divisors (see below), whose sum is σ = 510842520531. Its totient is φ = 105546383360.

The previous prime is 232202043389. The next prime is 232202043419. The reversal of 232202043392 is 293340202232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 116101021696 + 116101021696 = 340736^2 + 340736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340736.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 21109276667 + ... + 21109276677.

Almost surely, 2232202043392 is an apocalyptic number.

232202043392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232202043392

232202043392 is an abundant number, since it is smaller than the sum of its proper divisors (278640477139).

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

232202043392 is an frugal number, since it uses more digits than its factorization.

232202043392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Multiplying 232202043392 by its sum of digits (32), we get a square (7430465388544 = 27258882).

232202043392 divided by its sum of digits (32) gives a 6-th power (7256313856 = 446).

The spelling of 232202043392 in words is "two hundred thirty-two billion, two hundred two million, forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 8192 10648 11264 14641 15488 16384 21296 22528 29282 30976 32768 42592 45056 58564 61952 65536 85184 90112 117128 123904 131072 161051 170368 180224 234256 247808 322102 340736 360448 468512 495616 644204 681472 720896 937024 991232 1288408 1362944 1441792 1771561 1874048 1982464 2576816 2725888 3543122 3748096 3964928 5153632 5451776 7086244 7496192 7929856 10307264 10903552 14172488 14992384 15859712 20614528 21807104 28344976 29984768 41229056 43614208 56689952 59969536 82458112 87228416 113379904 119939072 164916224 174456832 226759808 239878144 329832448 453519616 479756288 659664896 907039232 959512576 1319329792 1814078464 1919025152 2638659584 3628156928 5277319168 7256313856 10554638336 14512627712 21109276672 29025255424 58050510848 116101021696 232202043392