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228861033134640 = 24357337613473237
BaseRepresentation
bin110100000010010111011100…
…100101010011101000110000
31010000022220022220020012010020
4310002113130211103220300
5214444124343440302030
62130425150204003440
766130443515262024
oct6402273445235060
91100286286205106
10228861033134640
1166a1646789a755
1221802974b30580
139a9166c90c48a
144072d0c630384
151b6d302459510
hexd025dc953a30

228861033134640 has 160 divisors (see below), whose sum is σ = 719379388575936. Its totient is φ = 60177564794880.

The previous prime is 228861033134621. The next prime is 228861033134653. The reversal of 228861033134640 is 46431330168822.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64156102 + ... + 67629338.

Almost surely, 2228861033134640 is an apocalyptic number.

228861033134640 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 228861033134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359689694287968).

228861033134640 is an abundant number, since it is smaller than the sum of its proper divisors (490518355441296).

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

228861033134640 is a wasteful number, since it uses less digits than its factorization.

228861033134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477087 (or 3477081 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 228861033134640 in words is "two hundred twenty-eight trillion, eight hundred sixty-one billion, thirty-three million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 3761 4380 5840 7522 8760 11283 15044 17520 18805 22566 30088 37610 45132 56415 60176 75220 90264 112830 150440 180528 225660 274553 300880 451320 549106 823659 902640 1098212 1372765 1647318 2196424 2745530 3294636 3473237 4118295 4392848 5491060 6589272 6946474 8236590 10419711 10982120 13178544 13892948 16473180 17366185 20839422 21964240 27785896 32946360 34732370 41678844 52098555 55571792 65892720 69464740 83357688 104197110 138929480 166715376 208394220 253546301 277858960 416788440 507092602 760638903 833576880 1014185204 1267731505 1521277806 2028370408 2535463010 3042555612 3803194515 4056740816 5070926020 6085111224 7606389030 10141852040 12170222448 13062844357 15212778060 20283704080 26125688714 30425556120 39188533071 52251377428 60851112240 65314221785 78377066142 104502754856 130628443570 156754132284 195942665355 209005509712 261256887140 313508264568 391885330710 522513774280 627016529136 783770661420 953587638061 1045027548560 1567541322840 1907175276122 2860762914183 3135082645680 3814350552244 4767938190305 5721525828366 7628701104488 9535876380610 11443051656732 14303814570915 15257402208976 19071752761220 22886103313464 28607629141830 38143505522440 45772206626928 57215258283660 76287011044880 114430516567320 228861033134640