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231223242400 = 25521717001709
BaseRepresentation
bin1101011101010111111…
…0101010111010100000
3211002211100022201222121
43113111332222322200
512242021122224100
6254120020314024
722463633063143
oct3272576527240
9732740281877
10231223242400
118a074546367
1238990242914
1318a5bc55937
14b296b8a05a
15603467a51a
hex35d5faaea0

231223242400 has 72 divisors (see below), whose sum is σ = 597678113340. Its totient is φ = 87048744960.

The previous prime is 231223242379. The next prime is 231223242431. The reversal of 231223242400 is 4242322132.

It can be written as a sum of positive squares in 6 ways, for example, as 145835389456 + 85387852944 = 381884^2 + 292212^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8487255 + ... + 8514454.

Almost surely, 2231223242400 is an apocalyptic number.

231223242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231223242400 is an abundant number, since it is smaller than the sum of its proper divisors (366454870940).

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

231223242400 is a wasteful number, since it uses less digits than its factorization.

231223242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17001746 (or 17001733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 231223242400 its reverse (4242322132), we get a palindrome (235465564532).

The spelling of 231223242400 in words is "two hundred thirty-one billion, two hundred twenty-three million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 17001709 34003418 68006836 85008545 136013672 170017090 272027344 289029053 340034180 425042725 544054688 578058106 680068360 850085450 1156116212 1360136720 1445145265 1700170900 2312232424 2720273440 2890290530 3400341800 4624464848 5780581060 6800683600 7225726325 9248929696 11561162120 13601367200 14451452650 23122324240 28902905300 46244648480 57805810600 115611621200 231223242400