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2173193064 = 23347736563
BaseRepresentation
bin1000000110001000…
…0100101101101000
312121110020122110000
42001202010231220
513422314134224
6555351023000
7104565556560
oct20142045550
95543218400
102173193064
11a15790129
1250796aa60
13288306b73
1416889dda0
15cabc40c9
hex81884b68

2173193064 has 160 divisors (see below), whose sum is σ = 7052886720. Its totient is φ = 612313344.

The previous prime is 2173193047. The next prime is 2173193083. The reversal of 2173193064 is 4603913712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327847 + ... + 334409.

It is an arithmetic number, because the mean of its divisors is an integer number (44080542).

Almost surely, 22173193064 is an apocalyptic number.

2173193064 is a gapful number since it is divisible by the number (24) 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 2173193064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526443360).

2173193064 is an abundant number, since it is smaller than the sum of its proper divisors (4879693656).

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

2173193064 is a wasteful number, since it uses less digits than its factorization.

2173193064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2173193064 is about 46617.5188528948. The cubic root of 2173193064 is about 1295.2872881700.

The spelling of 2173193064 in words is "two billion, one hundred seventy-three million, one hundred ninety-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 81 84 108 126 146 162 168 189 216 219 252 292 324 378 438 504 511 567 584 648 657 756 876 1022 1134 1314 1512 1533 1752 1971 2044 2268 2628 3066 3942 4088 4536 4599 5256 5913 6132 6563 7884 9198 11826 12264 13126 13797 15768 18396 19689 23652 26252 27594 36792 39378 41391 45941 47304 52504 55188 59067 78756 82782 91882 110376 118134 137823 157512 165564 177201 183764 236268 275646 331128 354402 367528 413469 472536 479099 531603 551292 708804 826938 958198 1063206 1102584 1240407 1417608 1437297 1653876 1916396 2126412 2480814 2874594 3307752 3353693 3721221 3832792 4252824 4311891 4961628 5749188 6707386 7442442 8623782 9923256 10061079 11498376 12935673 13414772 14884884 17247564 20122158 25871346 26829544 29769768 30183237 34495128 38807019 40244316 51742692 60366474 77614038 80488632 90549711 103485384 120732948 155228076 181099422 241465896 271649133 310456152 362198844 543298266 724397688 1086596532 2173193064