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228929568 = 25372411187
BaseRepresentation
bin11011010010100…
…11000000100000
3120221202211022220
431221103000200
5432101221233
634414431040
75446604100
oct1551230040
9527684286
10228929568
1110825219a
1264802480
1338575caa
1422593200
1515170eb3
hexda53020

228929568 has 144 divisors (see below), whose sum is σ = 716706144. Its totient is φ = 63759360.

The previous prime is 228929543. The next prime is 228929587. The reversal of 228929568 is 865929822.

It is a self number, because there is not a number n which added to its sum of digits gives 228929568.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192271 + ... + 193457.

It is an arithmetic number, because the mean of its divisors is an integer number (4977126).

Almost surely, 2228929568 is an apocalyptic number.

228929568 is a gapful number since it is divisible by the number (28) 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 228929568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358353072).

228929568 is an abundant number, since it is smaller than the sum of its proper divisors (487776576).

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

228929568 is a wasteful number, since it uses less digits than its factorization.

228929568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1240 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 228929568 is about 15130.4186326750. The cubic root of 228929568 is about 611.7405880793.

The spelling of 228929568 in words is "two hundred twenty-eight million, nine hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 784 861 984 1148 1176 1187 1312 1568 1722 1968 2009 2296 2352 2374 3444 3561 3936 4018 4592 4704 4748 6027 6888 7122 8036 8309 9184 9496 12054 13776 14244 16072 16618 18992 24108 24927 27552 28488 32144 33236 37984 48216 48667 49854 56976 58163 64288 66472 96432 97334 99708 113952 116326 132944 146001 174489 192864 194668 199416 232652 265888 292002 340669 348978 389336 398832 465304 584004 681338 697956 778672 797664 930608 1022007 1168008 1362676 1395912 1557344 1861216 2044014 2336016 2384683 2725352 2791824 4088028 4672032 4769366 5450704 5583648 7154049 8176056 9538732 10901408 14308098 16352112 19077464 28616196 32704224 38154928 57232392 76309856 114464784 228929568