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2432230106160 = 2435199106947639
BaseRepresentation
bin100011011001001100001…
…101100010010000110000
322121112000022001020212110
4203121030031202100300
5304322201401344120
65101203500125320
7340502633534121
oct43311415422060
98545008036773
102432230106160
11858559539a58
12333470b36840
131484872aa53a
1485a13334048
15434041b72e0
hex2364c362430

2432230106160 has 160 divisors (see below), whose sum is σ = 7585050240000. Its totient is φ = 644718210048.

The previous prime is 2432230106153. The next prime is 2432230106183. The reversal of 2432230106160 is 616010322342.

It is a super-2 number, since 2×24322301061602 (a number of 26 digits) contains 22 as substring.

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

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, 51031621 + ... + 51079259.

It is an arithmetic number, because the mean of its divisors is an integer number (47406564000).

Almost surely, 22432230106160 is an apocalyptic number.

2432230106160 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 2432230106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792525120000).

2432230106160 is an abundant number, since it is smaller than the sum of its proper divisors (5152820133840).

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

2432230106160 is a wasteful number, since it uses less digits than its factorization.

2432230106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48923 (or 48917 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 2432230106160 in words is "two trillion, four hundred thirty-two billion, two hundred thirty million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1069 1194 1592 1990 2138 2388 2985 3184 3207 3980 4276 4776 5345 5970 6414 7960 8552 9552 10690 11940 12828 15920 16035 17104 21380 23880 25656 32070 42760 47639 47760 51312 64140 85520 95278 128280 142917 190556 212731 238195 256560 285834 381112 425462 476390 571668 638193 714585 762224 850924 952780 1063655 1143336 1276386 1429170 1701848 1905560 2127310 2286672 2552772 2858340 3190965 3403696 3811120 4254620 5105544 5716680 6381930 8509240 9480161 10211088 11433360 12763860 17018480 18960322 25527720 28440483 37920644 47400805 50926091 51055440 56880966 75841288 94801610 101852182 113761932 142202415 151682576 152778273 189603220 203704364 227523864 254630455 284404830 305556546 379206440 407408728 455047728 509260910 568809660 611113092 758412880 763891365 814817456 1018521820 1137619320 1222226184 1527782730 2037043640 2275238640 2444452368 3055565460 4074087280 6111130920 10134292109 12222261840 20268584218 30402876327 40537168436 50671460545 60805752654 81074336872 101342921090 121611505308 152014381635 162148673744 202685842180 243223010616 304028763270 405371684360 486446021232 608057526540 810743368720 1216115053080 2432230106160