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219001890492 = 2232711251314761
BaseRepresentation
bin1100101111110110000…
…1111010011010111100
3202221021121200201220100
43023331201322122330
512042003440443432
6244335202321100
721552033232440
oct3137541723274
9687247621810
10219001890492
1184972948830
123653b359190
1317861c9c268
14a8579cc820
155a6b78407c
hex32fd87a6bc

219001890492 has 144 divisors (see below), whose sum is σ = 692939729664. Its totient is φ = 56656800000.

The previous prime is 219001890469. The next prime is 219001890493. The reversal of 219001890492 is 294098100912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219001890493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538392 + ... + 853152.

It is an arithmetic number, because the mean of its divisors is an integer number (4812081456).

Almost surely, 2219001890492 is an apocalyptic number.

219001890492 is a gapful number since it is divisible by the number (22) 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 219001890492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346469864832).

219001890492 is an abundant number, since it is smaller than the sum of its proper divisors (473937839172).

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

219001890492 is a wasteful number, since it uses less digits than its factorization.

219001890492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315040 (or 315035 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 219001890492 in words is "two hundred nineteen billion, one million, eight hundred ninety thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 251 252 308 396 462 502 693 753 924 1004 1386 1506 1757 2259 2761 2772 3012 3514 4518 5271 5522 7028 8283 9036 10542 11044 15813 16566 19327 21084 24849 31626 33132 38654 49698 57981 63252 77308 99396 115962 173943 231924 314761 347886 629522 695772 944283 1259044 1888566 2203327 2832849 3462371 3777132 4406654 5665698 6609981 6924742 8813308 10387113 11331396 13219962 13849484 19829943 20774226 24236597 26439924 31161339 39659886 41548452 48473194 62322678 72709791 79005011 79319772 96946388 124645356 145419582 158010022 218129373 237015033 290839164 316020044 436258746 474030066 553035077 711045099 869055121 872517492 948060132 1106070154 1422090198 1659105231 1738110242 2212140308 2607165363 2844180396 3318210462 3476220484 4977315693 5214330726 6083385847 6636420924 7821496089 9954631386 10428661452 12166771694 15642992178 18250157541 19909262772 24333543388 31285984356 36500315082 54750472623 73000630164 109500945246 219001890492