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228044136960 = 293259897749
BaseRepresentation
bin1101010001100001111…
…1010110001000000000
3210210121210021110011200
43110120133112020000
512214013244340320
6252432333141200
722322101116153
oct3243037261000
9723553243150
10228044136960
1188792a743a2
123824362a800
1318673421763
14b07487dc9a
155dea508290
hex35187d6200

228044136960 has 120 divisors (see below), whose sum is σ = 789781063500. Its totient is φ = 60811763712.

The previous prime is 228044136959. The next prime is 228044136967. The reversal of 228044136960 is 69631440822.

228044136960 is a `hidden beast` number, since 2 + 280 + 4 + 4 + 1 + 369 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208680857856 + 19363279104 = 456816^2 + 139152^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228044136967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4925835 + ... + 4971914.

Almost surely, 2228044136960 is an apocalyptic number.

228044136960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228044136960 is an abundant number, since it is smaller than the sum of its proper divisors (561736926540).

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

228044136960 is an equidigital number, since it uses as much as digits as its factorization.

228044136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897778 (or 9897759 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 228044136960 in words is "two hundred twenty-eight billion, forty-four million, one hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 9897749 19795498 29693247 39590996 49488745 59386494 79181992 89079741 98977490 118772988 148466235 158363984 178159482 197954980 237545976 296932470 316727968 356318964 395909960 445398705 475091952 593864940 633455936 712637928 791819920 890797410 950183904 1187729880 1266911872 1425275856 1583639840 1781594820 1900367808 2375459760 2533823744 2850551712 3167279680 3563189640 3800735616 4750919520 5067647488 5701103424 6334559360 7126379280 7601471232 9501839040 11402206848 12669118720 14252758560 15202942464 19003678080 22804413696 25338237440 28505517120 38007356160 45608827392 57011034240 76014712320 114022068480 228044136960