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224040134520 = 23335297153261
BaseRepresentation
bin1101000010100111010…
…1010010011101111000
3210102021202001001102000
43100221311102131320
512132313233301040
6250531141341000
722120631502516
oct3205165223570
9712252031360
10224040134520
11870188a7074
1237506707760
1318185a2b347
14abb4ba74b6
155c63c42130
hex3429d52778

224040134520 has 128 divisors (see below), whose sum is σ = 772552296000. Its totient is φ = 57683888640.

The previous prime is 224040134501. The next prime is 224040134537. The reversal of 224040134520 is 25431040422.

224040134520 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 0 + 134 + 520 = 666.

224040134520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3545311 + ... + 3607950.

Almost surely, 2224040134520 is an apocalyptic number.

224040134520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040134520 is an abundant number, since it is smaller than the sum of its proper divisors (548512161480).

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

224040134520 is a wasteful number, since it uses less digits than its factorization.

224040134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153310 (or 7153300 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 224040134520 its reverse (25431040422), we get a palindrome (249471174942).

The spelling of 224040134520 in words is "two hundred twenty-four billion, forty million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 7153261 14306522 21459783 28613044 35766305 42919566 57226088 64379349 71532610 85839132 107298915 128758698 143065220 171678264 193138047 207444569 214597830 257517396 286130440 321896745 386276094 414889138 429195660 515034792 622333707 643793490 772552188 829778276 858391320 965690235 1037222845 1244667414 1287586980 1545104376 1659556552 1867001121 1931380470 2074445690 2489334828 2575173960 3111668535 3734002242 3862760940 4148891380 4978669656 5601003363 6223337070 7468004484 7725521880 8297782760 9335005605 11202006726 12446674140 14936008968 18670011210 22404013452 24893348280 28005016815 37340022420 44808026904 56010033630 74680044840 112020067260 224040134520