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161221800 = 233521671609
BaseRepresentation
bin10011001110000…
…00110010101000
3102020100220201210
421213000302220
5312233044200
623555313120
73665235255
oct1147006250
9366326653
10161221800
1183007363
1245bab7a0
132752a91c
14175aa42c
15e249650
hex99c0ca8

161221800 has 96 divisors (see below), whose sum is σ = 503092800. Its totient is φ = 42708480.

The previous prime is 161221771. The next prime is 161221843. The reversal of 161221800 is 8122161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99396 + ... + 101004.

It is an arithmetic number, because the mean of its divisors is an integer number (5240550).

Almost surely, 2161221800 is an apocalyptic number.

161221800 is a gapful number since it is divisible by the number (10) 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 161221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251546400).

161221800 is an abundant number, since it is smaller than the sum of its proper divisors (341871000).

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

161221800 is a wasteful number, since it uses less digits than its factorization.

161221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 161221800 is about 12697.3146767338. The cubic root of 161221800 is about 544.2618855123.

Adding to 161221800 its reverse (8122161), we get a palindrome (169343961).

The spelling of 161221800 in words is "one hundred sixty-one million, two hundred twenty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1609 1670 2004 2505 3218 3340 4008 4175 4827 5010 6436 6680 8045 8350 9654 10020 12525 12872 16090 16700 19308 20040 24135 25050 32180 33400 38616 40225 48270 50100 64360 80450 96540 100200 120675 160900 193080 241350 268703 321800 482700 537406 806109 965400 1074812 1343515 1612218 2149624 2687030 3224436 4030545 5374060 6448872 6717575 8061090 10748120 13435150 16122180 20152725 26870300 32244360 40305450 53740600 80610900 161221800