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230455435520 = 285739243631
BaseRepresentation
bin1101011010100000110…
…1101110000100000000
3211000211211120002221202
43112220031232010000
512233433042414040
6253511511440332
722435620611132
oct3265015560400
9730754502852
10230455435520
11898100a3722
12387b70860a8
1318968b6503b
14b222c01052
155edc062015
hex35a836e100

230455435520 has 72 divisors (see below), whose sum is σ = 552762026880. Its totient is φ = 92057057280.

The previous prime is 230455435481. The next prime is 230455435523. The reversal of 230455435520 is 25534554032.

It is not an unprimeable number, because it can be changed into a prime (230455435523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824105 + ... + 1067735.

Almost surely, 2230455435520 is an apocalyptic number.

230455435520 is a gapful number since it is divisible by the number (20) 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 230455435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276381013440).

230455435520 is an abundant number, since it is smaller than the sum of its proper divisors (322306591360).

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

230455435520 is an equidigital number, since it uses as much as digits as its factorization.

230455435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244391 (or 244377 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

Adding to 230455435520 its reverse (25534554032), we get a palindrome (255989989552).

The spelling of 230455435520 in words is "two hundred thirty billion, four hundred fifty-five million, four hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 739 1280 1478 2956 3695 5912 7390 11824 14780 23648 29560 47296 59120 94592 118240 189184 236480 243631 472960 487262 945920 974524 1218155 1949048 2436310 3898096 4872620 7796192 9745240 15592384 19490480 31184768 38980960 62369536 77961920 155923840 180043309 311847680 360086618 720173236 900216545 1440346472 1800433090 2880692944 3600866180 5761385888 7201732360 11522771776 14403464720 23045543552 28806929440 46091087104 57613858880 115227717760 230455435520