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190857216 = 214311353
BaseRepresentation
bin10110110000001…
…00000000000000
3111022010112212210
423120010000000
5342324412331
630534422120
74505155014
oct1330040000
9438115783
10190857216
1198808940
1253b01940
1330705984
141b4c2544
1511b50446
hexb604000

190857216 has 120 divisors (see below), whose sum is σ = 556776864. Its totient is φ = 57671680.

The previous prime is 190857209. The next prime is 190857217. The reversal of 190857216 is 612758091.

It is not an unprimeable number, because it can be changed into a prime (190857217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540496 + ... + 540848.

Almost surely, 2190857216 is an apocalyptic number.

190857216 is a gapful number since it is divisible by the number (16) 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 190857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278388432).

190857216 is an abundant number, since it is smaller than the sum of its proper divisors (365919648).

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

190857216 is an equidigital number, since it uses as much as digits as its factorization.

190857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 190857216 is about 13815.1082514760. The cubic root of 190857216 is about 575.7529804998.

The spelling of 190857216 in words is "one hundred ninety million, eight hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 353 384 512 528 704 706 768 1024 1056 1059 1408 1412 1536 2048 2112 2118 2816 2824 3072 3883 4096 4224 4236 5632 5648 6144 7766 8192 8448 8472 11264 11296 11649 12288 15532 16384 16896 16944 22528 22592 23298 24576 31064 33792 33888 45056 45184 46596 49152 62128 67584 67776 90112 90368 93192 124256 135168 135552 180224 180736 186384 248512 270336 271104 361472 372768 497024 540672 542208 722944 745536 994048 1084416 1445888 1491072 1988096 2168832 2891776 2982144 3976192 4337664 5783552 5964288 7952384 8675328 11928576 15904768 17350656 23857152 31809536 47714304 63619072 95428608 190857216