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228199099572 = 2232294323921269
BaseRepresentation
bin1101010010000110111…
…0011110110010110100
3210211000120212100220200
43110201232132302310
512214322432141242
6252455550400500
722325662225203
oct3244156366264
9724016770820
10228199099572
1188862496074
1238287500130
131869956a402
14b08b29b23a
155e08e1804c
hex3521b9ecb4

228199099572 has 144 divisors (see below), whose sum is σ = 613188576000. Its totient is φ = 71431895808.

The previous prime is 228199099567. The next prime is 228199099607. The reversal of 228199099572 is 275990991822.

It is a super-3 number, since 3×2281990995723 (a number of 35 digits) contains 333 as substring.

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, 10718554 + ... + 10739822.

It is an arithmetic number, because the mean of its divisors is an integer number (4258254000).

Almost surely, 2228199099572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228199099572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306594288000).

228199099572 is an abundant number, since it is smaller than the sum of its proper divisors (384989476428).

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

228199099572 is a wasteful number, since it uses less digits than its factorization.

228199099572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21590 (or 21585 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 228199099572 in words is "two hundred twenty-eight billion, one hundred ninety-nine million, ninety-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 239 258 261 348 387 478 516 522 717 774 956 1044 1247 1434 1548 2151 2494 2868 3741 4302 4988 6931 7482 8604 10277 11223 13862 14964 20554 20793 21269 22446 27724 30831 41108 41586 42538 44892 61662 62379 63807 83172 85076 92493 123324 124758 127614 184986 191421 249516 255228 298033 369972 382842 596066 616801 765684 894099 914567 1192132 1233602 1788198 1829134 1850403 2467204 2682297 2743701 3576396 3658268 3700806 5083291 5364594 5487402 5551209 7401612 8231103 10166582 10729188 10974804 11102418 15249873 16462206 20333164 22204836 26522443 30499746 32924412 45749619 53044886 60999492 79567329 91499238 106089772 147415439 159134658 182998476 218581513 238701987 294830878 318269316 437163026 442246317 477403974 589661756 655744539 874326052 884492634 954807948 1311489078 1326738951 1768985268 1967233617 2622978156 2653477902 3934467234 5306955804 6338863877 7868934468 12677727754 19016591631 25355455508 38033183262 57049774893 76066366524 114099549786 228199099572