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228861370362960 = 24335537911969741
BaseRepresentation
bin110100000010010111110000…
…101011101110110001010000
31010000022221012101210011102000
4310002113300223232301100
5214444131041303103320
62130425243451554000
766130455051543666
oct6402276053566120
91100287171704360
10228861370362960
1166a16620191345
1221802a49a5b900
139a916c474336a
144072d41334c36
151b6d321d6dc90
hexd025f0aeec50

228861370362960 has 160 divisors (see below), whose sum is σ = 788315330780160. Its totient is φ = 61028533209600.

The previous prime is 228861370362949. The next prime is 228861370362973. The reversal of 228861370362960 is 69263073168822.

It is a happy number.

228861370362960 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 613 + 7 + 0 + 3 + 6 + 2 + 9 + 6 + 0 = 666.

It is a congruent number.

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, 115203690 + ... + 117173430.

It is an arithmetic number, because the mean of its divisors is an integer number (4926970817376).

Almost surely, 2228861370362960 is an apocalyptic number.

228861370362960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228861370362960 is an abundant number, since it is smaller than the sum of its proper divisors (559453960417200).

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

228861370362960 is a wasteful number, since it uses less digits than its factorization.

228861370362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023554 (or 2023542 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 228861370362960 in words is "two hundred twenty-eight trillion, eight hundred sixty-one billion, three hundred seventy million, three hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 53791 107582 161373 215164 268955 322746 430328 484119 537910 645492 806865 860656 968238 1075820 1290984 1452357 1613730 1936476 1969741 2151640 2420595 2581968 2904714 3227460 3872952 3939482 4303280 4841190 5809428 5909223 6454920 7261785 7745904 7878964 9682380 9848705 11618856 11818446 12909840 14523570 15757928 17727669 19364760 19697410 23237712 23636892 29047140 29546115 31515856 35455338 38729520 39394820 47273784 53183007 58094280 59092230 70910676 78789640 88638345 94547568 106366014 116188560 118184460 141821352 157579280 177276690 212732028 236368920 265915035 283642704 354553380 425464056 472737840 531830070 709106760 850928112 1063660140 1418213520 2127320280 4254640560 105954338131 211908676262 317863014393 423817352524 529771690655 635726028786 847634705048 953589043179 1059543381310 1271452057572 1589315071965 1695269410096 1907178086358 2119086762620 2542904115144 2860767129537 3178630143930 3814356172716 4238173525240 4767945215895 5085808230288 5721534259074 6357260287860 7628712345432 8476347050480 9535890431790 11443068518148 12714520575720 14303835647685 15257424690864 19071780863580 22886137036296 25429041151440 28607671295370 38143561727160 45772274072592 57215342590740 76287123454320 114430685181480 228861370362960