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217093380200 = 23528291309369
BaseRepresentation
bin1100101000101111000…
…1100001100001101000
3202202100121111100221222
43022023301201201220
512024101401131300
6243421544321212
721453530166464
oct3121361414150
9682317440858
10217093380200
118408360a7a4
12360a8173208
1317619778c28
14a71634b4a4
1559a8e44785
hex328bc61868

217093380200 has 48 divisors (see below), whose sum is σ = 505351351500. Its totient is φ = 86732536320.

The previous prime is 217093380199. The next prime is 217093380247. The reversal of 217093380200 is 2083390712.

It can be written as a sum of positive squares in 6 ways, for example, as 76097636164 + 140995744036 = 275858^2 + 375494^2 .

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, 488885 + ... + 820484.

Almost surely, 2217093380200 is an apocalyptic number.

217093380200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217093380200 is an abundant number, since it is smaller than the sum of its proper divisors (288257971300).

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

217093380200 is a wasteful number, since it uses less digits than its factorization.

217093380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310214 (or 1310205 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 217093380200 in words is "two hundred seventeen billion, ninety-three million, three hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 829 1658 3316 4145 6632 8290 16580 20725 33160 41450 82900 165800 1309369 2618738 5237476 6546845 10474952 13093690 26187380 32734225 52374760 65468450 130936900 261873800 1085466901 2170933802 4341867604 5427334505 8683735208 10854669010 21709338020 27136672525 43418676040 54273345050 108546690100 217093380200