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3722033196 = 22327191276121
BaseRepresentation
bin1101110111011001…
…1011100000101100
3100121101122212200100
43131312123200230
530110320030241
61413200031100
7161143521510
oct33566334054
910541585610
103722033196
11163aa996a2
1287a602490
1347416960b
14274478140
1516bb699b6
hexddd9b82c

3722033196 has 144 divisors (see below), whose sum is σ = 11409448960. Its totient is φ = 999371520.

The previous prime is 3722033191. The next prime is 3722033219. The reversal of 3722033196 is 6913302273.

It is a super-2 number, since 2×37220331962 = 27707062224251948832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3722033196.

It is not an unprimeable number, because it can be changed into a prime (3722033191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605016 + ... + 611136.

Almost surely, 23722033196 is an apocalyptic number.

3722033196 is a gapful number since it is divisible by the number (36) 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 3722033196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704724480).

3722033196 is an abundant number, since it is smaller than the sum of its proper divisors (7687415764).

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

3722033196 is a wasteful number, since it uses less digits than its factorization.

3722033196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3722033196 is about 61008.4682318774. The cubic root of 3722033196 is about 1549.7444179353.

The spelling of 3722033196 in words is "three billion, seven hundred twenty-two million, thirty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 127 133 171 228 252 254 266 342 381 399 508 532 684 762 798 889 1143 1197 1524 1596 1778 2286 2394 2413 2667 3556 4572 4788 4826 5334 6121 7239 8001 9652 10668 12242 14478 16002 16891 18363 21717 24484 28956 32004 33782 36726 42847 43434 50673 55089 67564 73452 85694 86868 101346 110178 116299 128541 152019 171388 202692 220356 232598 257082 304038 348897 385623 465196 514164 608076 697794 771246 777367 814093 1046691 1395588 1542492 1554734 1628186 2093382 2332101 2442279 3109468 3256372 4186764 4664202 4884558 5441569 6996303 7326837 9328404 9769116 10883138 13992606 14653674 14769973 16324707 21766276 27985212 29307348 29539946 32649414 44309919 48974121 59079892 65298828 88619838 97948242 103389811 132929757 177239676 195896484 206779622 265859514 310169433 413559244 531719028 620338866 930508299 1240677732 1861016598 3722033196