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34330226000 = 2453719129061
BaseRepresentation
bin11111111110001111…
…011010110101010000
310021121112101011201212
4133332033122311100
51030302014213000
623434315515252
72323510051310
oct377617326520
9107545334655
1034330226000
1113617576a04
1267a1158b28
1333115383c5
14193959d440
15d5dd7dc35
hex7fe3dad50

34330226000 has 160 divisors (see below), whose sum is σ = 99863013120. Its totient is φ = 11150784000.

The previous prime is 34330225997. The next prime is 34330226041. The reversal of 34330226000 is 62203343.

It is a super-2 number, since 2×343302260002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 201470 + ... + 330530.

It is an arithmetic number, because the mean of its divisors is an integer number (624143832).

Almost surely, 234330226000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34330226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49931506560).

34330226000 is an abundant number, since it is smaller than the sum of its proper divisors (65532787120).

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

34330226000 is a wasteful number, since it uses less digits than its factorization.

34330226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129110 (or 129094 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 34330226000 its reverse (62203343), we get a palindrome (34392429343).

The spelling of 34330226000 in words is "thirty-four billion, three hundred thirty million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 9500 10640 13300 14000 16625 19000 26600 33250 38000 53200 66500 129061 133000 258122 266000 516244 645305 903427 1032488 1290610 1806854 2064976 2452159 2581220 3226525 3613708 4517135 4904318 5162440 6453050 7227416 9034270 9808636 10324880 12260795 12906100 14454832 16132625 17165113 18068540 19617272 22585675 24521590 25812200 32265250 34330226 36137080 39234544 45171350 49043180 51624400 61303975 64530500 68660452 72274160 85825565 90342700 98086360 112928375 122607950 129061000 137320904 171651130 180685400 196172720 225856750 245215900 258122000 274641808 306519875 343302260 361370800 429127825 451713500 490431800 613039750 686604520 858255650 903427000 980863600 1226079500 1373209040 1716511300 1806854000 2145639125 2452159000 3433022600 4291278250 4904318000 6866045200 8582556500 17165113000 34330226000