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234245553520 = 245112912497349
BaseRepresentation
bin1101101000101000011…
…1110111110101110000
3211101121222100001102111
43122022013313311300
512314213330203040
6255335543055104
722631552231626
oct3321207676560
9741558301374
10234245553520
1190385565450
1239494441494
131912114c504
14b4a231d516
15615eb79dea
hex368a1f7d70

234245553520 has 160 divisors (see below), whose sum is σ = 615195000000. Its totient is φ = 82165923840.

The previous prime is 234245553413. The next prime is 234245553523. The reversal of 234245553520 is 25355542432.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234245553523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31870806 + ... + 31878154.

It is an arithmetic number, because the mean of its divisors is an integer number (3844968750).

Almost surely, 2234245553520 is an apocalyptic number.

234245553520 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 234245553520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307597500000).

234245553520 is an abundant number, since it is smaller than the sum of its proper divisors (380949446480).

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

234245553520 is a wasteful number, since it uses less digits than its factorization.

234245553520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 234245553520 in words is "two hundred thirty-four billion, two hundred forty-five million, five hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1249 1276 1595 2320 2498 2552 3190 4996 5104 6245 6380 7349 9992 12490 12760 13739 14698 19984 24980 25520 27478 29396 36221 36745 49960 54956 58792 68695 72442 73490 80839 99920 109912 117584 137390 144884 146980 161678 181105 213121 219824 274780 289768 293960 323356 362210 398431 404195 426242 549560 579536 587920 646712 724420 796862 808390 852484 1065605 1099120 1293424 1448840 1593724 1616780 1704968 1992155 2131210 2344331 2897680 3187448 3233560 3409936 3984310 4262420 4688662 6374896 6467120 7968620 8524840 9178901 9377324 11721655 15937240 17049680 18357802 18754648 23443310 31874480 36715604 37509296 45894505 46886620 73431208 91789010 93773240 100967911 146862416 183578020 187546480 201935822 266188129 367156040 403871644 504839555 532376258 734312080 807743288 1009679110 1064752516 1330940645 1615486576 2019358220 2129505032 2661881290 2928069419 4038716440 4259010064 5323762580 5856138838 8077432880 10647525160 11712277676 14640347095 21295050320 23424555352 29280694190 46849110704 58561388380 117122776760 234245553520