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2422002000 = 243531136697
BaseRepresentation
bin1001000001011100…
…1101000101010000
320020210102110010210
42100113031011100
514430013031000
61040155524120
7114006451215
oct22027150520
96223373123
102422002000
11103317aa50
12577159640
132c7a203a2
1418d949b0c
15e2970350
hex905cd150

2422002000 has 160 divisors (see below), whose sum is σ = 8518633344. Its totient is φ = 587136000.

The previous prime is 2422001999. The next prime is 2422002043. The reversal of 2422002000 is 2002242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 47652 + ... + 84348.

Almost surely, 22422002000 is an apocalyptic number.

2422002000 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 2422002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259316672).

2422002000 is an abundant number, since it is smaller than the sum of its proper divisors (6096631344).

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

2422002000 is a wasteful number, since it uses less digits than its factorization.

2422002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36734 (or 36718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2422002000 is about 49213.8395169489. The cubic root of 2422002000 is about 1342.9448120133.

Adding to 2422002000 its reverse (2002242), we get a palindrome (2424004242).

The spelling of 2422002000 in words is "two billion, four hundred twenty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 36697 66000 73394 110091 146788 183485 220182 293576 366970 403667 440364 550455 587152 733940 807334 880728 917425 1100910 1211001 1467880 1614668 1761456 1834850 2018335 2201820 2422002 2752275 2935760 3229336 3669700 4036670 4403640 4587125 4844004 5504550 6055005 6458672 7339400 8073340 8807280 9174250 9688008 10091675 11009100 12110010 13761375 14678800 16146680 18348500 19376016 20183350 22018200 24220020 27522750 30275025 32293360 36697000 40366700 44036400 48440040 50458375 55045500 60550050 73394000 80733400 96880080 100916750 110091000 121100100 151375125 161466800 201833500 220182000 242200200 302750250 403667000 484400400 605500500 807334000 1211001000 2422002000