Search a number
-
+
217072221120 = 2632575372299
BaseRepresentation
bin1100101000101010000…
…0110011101111000000
3202202022010200101011100
43022022200303233000
512024030442033440
6243415511014400
721453152302266
oct3121240635700
9682263611140
10217072221120
1184072678657
12360a106a400
131761527b071
14a713600436
1559a7165230
hex328a833bc0

217072221120 has 84 divisors (see below), whose sum is σ = 746638003800. Its totient is φ = 57885924864.

The previous prime is 217072221109. The next prime is 217072221131. The reversal of 217072221120 is 21122270712.

It is an interprime number because it is at equal distance from previous prime (217072221109) and next prime (217072221131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37683270 + ... + 37689029.

Almost surely, 2217072221120 is an apocalyptic number.

217072221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217072221120 is an abundant number, since it is smaller than the sum of its proper divisors (529565782680).

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

217072221120 is a wasteful number, since it uses less digits than its factorization.

217072221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75372322 (or 75372309 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 217072221120 its reverse (21122270712), we get a palindrome (238194491832).

The spelling of 217072221120 in words is "two hundred seventeen billion, seventy-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 75372299 150744598 226116897 301489196 376861495 452233794 602978392 678350691 753722990 904467588 1130584485 1205956784 1356701382 1507445980 1808935176 2261168970 2411913568 2713402764 3014891960 3391753455 3617870352 4522337940 4823827136 5426805528 6029783920 6783506910 7235740704 9044675880 10853611056 12059567840 13567013820 14471481408 18089351760 21707222112 24119135680 27134027640 36178703520 43414444224 54268055280 72357407040 108536110560 217072221120