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33042242000 = 2453591072617
BaseRepresentation
bin11110110001011110…
…001001100111010000
310011021202210210211202
4132301132021213100
51020132303221000
623102425530332
72246550265025
oct366136114720
9104252723752
1033042242000
1113016536519
1264a19439a8
1331677497b1
1418564c954c
15cd5c63dd5
hex7b17899d0

33042242000 has 160 divisors (see below), whose sum is σ = 82040999040. Its totient is φ = 12866534400.

The previous prime is 33042241993. The next prime is 33042242003. The reversal of 33042242000 is 24224033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33042242003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12624692 + ... + 12627308.

It is an arithmetic number, because the mean of its divisors is an integer number (512756244).

Almost surely, 233042242000 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 33042242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41020499520).

33042242000 is an abundant number, since it is smaller than the sum of its proper divisors (48998757040).

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

33042242000 is a wasteful number, since it uses less digits than its factorization.

33042242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 33042242000 its reverse (24224033), we get a palindrome (33066466033).

The spelling of 33042242000 in words is "thirty-three billion, forty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 107 118 125 200 214 236 250 295 400 428 472 500 535 590 856 944 1000 1070 1180 1475 1712 2000 2140 2360 2617 2675 2950 4280 4720 5234 5350 5900 6313 7375 8560 10468 10700 11800 12626 13085 13375 14750 20936 21400 23600 25252 26170 26750 29500 31565 41872 42800 50504 52340 53500 59000 63130 65425 101008 104680 107000 118000 126260 130850 154403 157825 209360 214000 252520 261700 280019 308806 315650 327125 505040 523400 560038 617612 631300 654250 772015 789125 1046800 1120076 1235224 1262600 1308500 1400095 1544030 1578250 2240152 2470448 2525200 2617000 2800190 3088060 3156500 3860075 4480304 5234000 5600380 6176120 6313000 7000475 7720150 11200760 12352240 12626000 14000950 15440300 16521121 19300375 22401520 28001900 30880600 33042242 35002375 38600750 56003800 61761200 66084484 70004750 77201500 82605605 112007600 132168968 140009500 154403000 165211210 264337936 280019000 308806000 330422420 413028025 560038000 660844840 826056050 1321689680 1652112100 2065140125 3304224200 4130280250 6608448400 8260560500 16521121000 33042242000