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214220330500 = 22531177350387
BaseRepresentation
bin1100011110000010000…
…1101101011000000100
3202110221101100022200211
43013200201231120010
512002210401034000
6242224513045204
721322402523341
oct3074041553004
9673841308624
10214220330500
1182939878a60
1235625b56804
131727c483017
14a52294d7c8
15588baca7ba
hex31e086d604

214220330500 has 96 divisors (see below), whose sum is σ = 511060088448. Its totient is φ = 77795984000.

The previous prime is 214220330483. The next prime is 214220330549. The reversal of 214220330500 is 5033022412.

214220330500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4226307 + ... + 4276693.

It is an arithmetic number, because the mean of its divisors is an integer number (5323542588).

Almost surely, 2214220330500 is an apocalyptic number.

214220330500 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 214220330500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255530044224).

214220330500 is an abundant number, since it is smaller than the sum of its proper divisors (296839757948).

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

214220330500 is a wasteful number, since it uses less digits than its factorization.

214220330500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51190 (or 51178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 214220330500 its reverse (5033022412), we get a palindrome (219253352912).

The spelling of 214220330500 in words is "two hundred fourteen billion, two hundred twenty million, three hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 773 1100 1375 1546 2750 3092 3865 5500 7730 8503 15460 17006 19325 34012 38650 42515 50387 77300 85030 96625 100774 170060 193250 201548 212575 251935 386500 425150 503870 554257 850300 1007740 1062875 1108514 1259675 2125750 2217028 2519350 2771285 4251500 5038700 5542570 6298375 11085140 12596750 13856425 25193500 27712850 38949151 55425700 69282125 77898302 138564250 155796604 194745755 277128500 389491510 428440661 778983020 856881322 973728775 1713762644 1947457550 2142203305 3894915100 4284406610 4868643875 8568813220 9737287750 10711016525 19474575500 21422033050 42844066100 53555082625 107110165250 214220330500