Search a number
-
+
6214216440 = 2335109475093
BaseRepresentation
bin1011100100110010…
…10110101011111000
3121001002010220101110
411302121112223320
5100211314411230
62504344120320
7306664653045
oct56231265370
917032126343
106214216440
1126a9843873
1212551660a0
1378058cb63
1442d4521cc
1526584e4b0
hex172656af8

6214216440 has 64 divisors (see below), whose sum is σ = 18813722400. Its totient is φ = 1641917952.

The previous prime is 6214216357. The next prime is 6214216471. The reversal of 6214216440 is 446124126.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6214216398 and 6214216407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224467 + ... + 250626.

Almost surely, 26214216440 is an apocalyptic number.

6214216440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6214216440 is an abundant number, since it is smaller than the sum of its proper divisors (12599505960).

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

6214216440 is a wasteful number, since it uses less digits than its factorization.

6214216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475216 (or 475212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6214216440 is about 78830.3015343719. The cubic root of 6214216440 is about 1838.4936119059.

The spelling of 6214216440 in words is "six billion, two hundred fourteen million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 475093 950186 1425279 1900372 2375465 2850558 3800744 4750930 5701116 7126395 9501860 11402232 14252790 19003720 28505580 51785137 57011160 103570274 155355411 207140548 258925685 310710822 414281096 517851370 621421644 776777055 1035702740 1242843288 1553554110 2071405480 3107108220 6214216440