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172822104 = 233271322029
BaseRepresentation
bin10100100110100…
…00111001011000
3110001012021100200
422103100321120
5323220301404
625052102200
74165651350
oct1223207130
9401167320
10172822104
118960a894
1249a64960
1329a5ca00
1418d49b60
151028b839
hexa4d0e58

172822104 has 144 divisors (see below), whose sum is σ = 579524400. Its totient is φ = 45556992.

The previous prime is 172822099. The next prime is 172822129. The reversal of 172822104 is 401228271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84162 + ... + 86190.

It is an arithmetic number, because the mean of its divisors is an integer number (4024475).

Almost surely, 2172822104 is an apocalyptic number.

172822104 is a gapful number since it is divisible by the number (14) 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 172822104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289762200).

172822104 is an abundant number, since it is smaller than the sum of its proper divisors (406702296).

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

172822104 is a wasteful number, since it uses less digits than its factorization.

172822104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 172822104 is about 13146.1821073649. The cubic root of 172822104 is about 557.0144084838.

It can be divided in two parts, 1728 and 22104, that added together give a palindrome (23832).

The spelling of 172822104 in words is "one hundred seventy-two million, eight hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2029 2184 2366 3042 3276 3549 4056 4058 4732 6084 6087 6552 7098 8116 9464 10647 12168 12174 14196 14203 16232 18261 21294 24348 26377 28392 28406 36522 42588 42609 48696 52754 56812 73044 79131 85176 85218 105508 113624 127827 146088 158262 170436 184639 211016 237393 255654 316524 340872 342901 369278 474786 511308 553917 633048 685802 738556 949572 1022616 1028703 1107834 1371604 1477112 1661751 1899144 2057406 2215668 2400307 2743208 3086109 3323502 4114812 4431336 4800614 6172218 6647004 7200921 8229624 9601228 12344436 13294008 14401842 19202456 21602763 24688872 28803684 43205526 57607368 86411052 172822104