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216423400 = 23523167521
BaseRepresentation
bin11001110011001…
…01101111101000
3120002020110002111
430321211233220
5420401022100
633250412104
75235366004
oct1471455750
9502213074
10216423400
11101190116
1260591034
1335ab77ab
1420a59704
15140006ba
hexce65be8

216423400 has 96 divisors (see below), whose sum is σ = 528180480. Its totient is φ = 82368000.

The previous prime is 216423371. The next prime is 216423409. The reversal of 216423400 is 4324612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216423409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415140 + ... + 415660.

It is an arithmetic number, because the mean of its divisors is an integer number (5501880).

Almost surely, 2216423400 is an apocalyptic number.

216423400 is a gapful number since it is divisible by the number (20) 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 216423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264090240).

216423400 is an abundant number, since it is smaller than the sum of its proper divisors (311757080).

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

216423400 is a wasteful number, since it uses less digits than its factorization.

216423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 216423400 is about 14711.3357653206. The cubic root of 216423400 is about 600.3917811606.

The spelling of 216423400 in words is "two hundred sixteen million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 67 100 124 134 155 200 248 268 310 335 521 536 620 670 775 1042 1240 1340 1550 1675 2077 2084 2605 2680 3100 3350 4154 4168 5210 6200 6700 8308 10385 10420 13025 13400 16151 16616 20770 20840 26050 32302 34907 41540 51925 52100 64604 69814 80755 83080 103850 104200 129208 139628 161510 174535 207700 279256 323020 349070 403775 415400 646040 698140 807550 872675 1082117 1396280 1615100 1745350 2164234 3230200 3490700 4328468 5410585 6981400 8656936 10821170 21642340 27052925 43284680 54105850 108211700 216423400