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228022236 = 2233133312
BaseRepresentation
bin11011001011101…
…01011111011100
3120220001201201000
431211311133130
5431333202421
634343150300
75436104601
oct1545653734
9526051630
10228022236
11107792532
1264445390
1338319000
14223d86a8
1515042226
hexd9757dc

228022236 has 144 divisors (see below), whose sum is σ = 661735200. Its totient is φ = 67897440.

The previous prime is 228022229. The next prime is 228022283. The reversal of 228022236 is 632220822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×2280222362 = 103988280220879392, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7355541 + ... + 7355571.

Almost surely, 2228022236 is an apocalyptic number.

228022236 is a gapful number since it is divisible by the number (26) 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 228022236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330867600).

228022236 is an abundant number, since it is smaller than the sum of its proper divisors (433712964).

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

228022236 is a wasteful number, since it uses less digits than its factorization.

228022236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 228022236 is about 15100.4051601273. The cubic root of 228022236 is about 610.9313337652.

The spelling of 228022236 in words is "two hundred twenty-eight million, twenty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 169 186 234 279 338 351 372 403 468 507 558 676 702 806 837 961 1014 1116 1209 1404 1521 1612 1674 1922 2028 2197 2418 2883 3042 3348 3627 3844 4394 4563 4836 5239 5766 6084 6591 7254 8649 8788 9126 10478 10881 11532 12493 13182 14508 15717 17298 18252 19773 20956 21762 24986 25947 26364 31434 34596 37479 39546 43524 47151 49972 51894 59319 62868 68107 74958 79092 94302 103788 112437 118638 136214 141453 149916 162409 188604 204321 224874 237276 272428 282906 324818 337311 408642 449748 487227 565812 612963 649636 674622 817284 974454 1225926 1349244 1461681 1838889 1948908 2111317 2451852 2923362 3677778 4222634 4385043 5846724 6333951 7355556 8445268 8770086 12667902 17540172 19001853 25335804 38003706 57005559 76007412 114011118 228022236