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214533717400 = 235224110494243
BaseRepresentation
bin1100011111001100110…
…1001011110110011000
3202111202020001000201001
43013303031023312120
512003331112424100
6242315550034344
721333226336642
oct3076315136630
9674666030631
10214533717400
1182a8a7661a2
12356b2aa89b4
13172cc38a162
14a552409892
1558a9380d6a
hex31f334bd98

214533717400 has 96 divisors (see below), whose sum is σ = 501456186000. Its totient is φ = 85355827200.

The previous prime is 214533717373. The next prime is 214533717401. The reversal of 214533717400 is 4717335412.

It is a self number, because there is not a number n which added to its sum of digits gives 214533717400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214533717401) 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, 50559679 + ... + 50563921.

Almost surely, 2214533717400 is an apocalyptic number.

214533717400 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 214533717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250728093000).

214533717400 is an abundant number, since it is smaller than the sum of its proper divisors (286922468600).

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

214533717400 is a wasteful number, since it uses less digits than its factorization.

214533717400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 214533717400 in words is "two hundred fourteen billion, five hundred thirty-three million, seven hundred seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1049 1205 1928 2098 2410 4196 4243 4820 5245 6025 8392 8486 9640 10490 12050 16972 20980 21215 24100 26225 33944 41960 42430 48200 52450 84860 104900 106075 169720 209800 212150 252809 424300 505618 848600 1011236 1022563 1264045 2022472 2045126 2528090 4090252 4450907 5056180 5112815 6320225 8180504 8901814 10112360 10225630 12640450 17803628 20451260 22254535 25280900 25564075 35607256 40902520 44509070 50561800 51128150 89018140 102256300 111272675 178036280 204512600 222545350 445090700 890181400 1072668587 2145337174 4290674348 5363342935 8581348696 10726685870 21453371740 26816714675 42906743480 53633429350 107266858700 214533717400