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40022234000 = 245373777263
BaseRepresentation
bin100101010001100000…
…101101001110010000
310211022012220010210222
4211101200231032100
51123431142442000
630215211212212
72614534242650
oct452140551620
9124265803728
1040022234000
1115a78564851
12790b447068
133a0a868788
141d19518360
151093929a85
hex95182d390

40022234000 has 160 divisors (see below), whose sum is σ = 113589206016. Its totient is φ = 13350873600.

The previous prime is 40022233997. The next prime is 40022234029. The reversal of 40022234000 is 43222004.

It is a self number, because there is not a number n which added to its sum of digits gives 40022234000.

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, 479369 + ... + 556631.

Almost surely, 240022234000 is an apocalyptic number.

40022234000 is a gapful number since it is divisible by the number (40) 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 40022234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56794603008).

40022234000 is an abundant number, since it is smaller than the sum of its proper divisors (73566972016).

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

40022234000 is a wasteful number, since it uses less digits than its factorization.

40022234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77330 (or 77314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 40022234000 its reverse (43222004), we get a palindrome (40065456004).

The spelling of 40022234000 in words is "forty billion, twenty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 112 125 140 148 175 185 200 250 259 280 296 350 370 400 500 518 560 592 700 740 875 925 1000 1036 1295 1400 1480 1750 1850 2000 2072 2590 2800 2960 3500 3700 4144 4625 5180 6475 7000 7400 9250 10360 12950 14000 14800 18500 20720 25900 32375 37000 51800 64750 74000 77263 103600 129500 154526 259000 309052 386315 518000 540841 618104 772630 1081682 1236208 1545260 1931575 2163364 2704205 2858731 3090520 3863150 4326728 5408410 5717462 6181040 7726300 8653456 9657875 10816820 11434924 13521025 14293655 15452600 19315750 20011117 21633640 22869848 27042050 28587310 30905200 38631500 40022234 43267280 45739696 54084100 57174620 67605125 71468275 77263000 80044468 100055585 108168200 114349240 135210250 142936550 154526000 160088936 200111170 216336400 228698480 270420500 285873100 320177872 357341375 400222340 500277925 540841000 571746200 714682750 800444680 1000555850 1081682000 1143492400 1429365500 1600889360 2001111700 2501389625 2858731000 4002223400 5002779250 5717462000 8004446800 10005558500 20011117000 40022234000