Search a number
-
+
33422554000 = 24531113111597
BaseRepresentation
bin11111001000001000…
…111011001110010000
310012021021102122211101
4133020020323032100
51021422133212000
623204253154144
72262146010253
oct371010731620
9105237378741
1033422554000
11131a1184560
12658918b954
1331c8486994
141890c0709a
15d09338e6a
hex7c823b390

33422554000 has 160 divisors (see below), whose sum is σ = 88843277952. Its totient is φ = 12059840000.

The previous prime is 33422553977. The next prime is 33422554001. The reversal of 33422554000 is 45522433.

It is a super-2 number, since 2×334225540002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33422554000.

It is not an unprimeable number, because it can be changed into a prime (33422554001) 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, 2876202 + ... + 2887798.

Almost surely, 233422554000 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 33422554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421638976).

33422554000 is an abundant number, since it is smaller than the sum of its proper divisors (55420723952).

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

33422554000 is a wasteful number, since it uses less digits than its factorization.

33422554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 33422554000 in words is "thirty-three billion, four hundred twenty-two million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 131 176 200 220 250 262 275 400 440 500 524 550 655 880 1000 1048 1100 1310 1375 1441 2000 2096 2200 2620 2750 2882 3275 4400 5240 5500 5764 6550 7205 10480 11000 11528 11597 13100 14410 16375 22000 23056 23194 26200 28820 32750 36025 46388 52400 57640 57985 65500 72050 92776 115280 115970 127567 131000 144100 180125 185552 231940 255134 262000 288200 289925 360250 463880 510268 576400 579850 637835 720500 927760 1020536 1159700 1275670 1441000 1449625 1519207 2041072 2319400 2551340 2882000 2899250 3038414 3189175 4638800 5102680 5798500 6076828 6378350 7596035 10205360 11597000 12153656 12756700 15192070 15945875 16711277 23194000 24307312 25513400 30384140 31891750 33422554 37980175 51026800 60768280 63783500 66845108 75960350 83556385 121536560 127567000 133690216 151920700 167112770 189900875 255134000 267380432 303841400 334225540 379801750 417781925 607682800 668451080 759603500 835563850 1336902160 1519207000 1671127700 2088909625 3038414000 3342255400 4177819250 6684510800 8355638500 16711277000 33422554000