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2121422000 = 2453412631
BaseRepresentation
bin111111001110010…
…0101010010110000
312110211211101220012
41332130211102300
513321041001000
6550301234052
7103366534535
oct17634452260
95424741805
102121422000
1199953a825
124b2562928
1327a67b5b9
14161a64d8c
15c6399735
hex7e7254b0

2121422000 has 120 divisors (see below), whose sum is σ = 5266094496. Its totient is φ = 826560000.

The previous prime is 2121421979. The next prime is 2121422057. The reversal of 2121422000 is 2241212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361685 + ... + 3362315.

Almost surely, 22121422000 is an apocalyptic number.

2121422000 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 2121422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633047248).

2121422000 is an abundant number, since it is smaller than the sum of its proper divisors (3144672496).

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

2121422000 is an equidigital number, since it uses as much as digits as its factorization.

2121422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2121422000 is about 46058.8970775463. The cubic root of 2121422000 is about 1284.9188177654.

Adding to 2121422000 its reverse (2241212), we get a palindrome (2123663212).

The spelling of 2121422000 in words is "two billion, one hundred twenty-one million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 631 656 820 1000 1025 1262 1640 1681 2000 2050 2524 3155 3280 3362 4100 5048 5125 6310 6724 8200 8405 10096 10250 12620 13448 15775 16400 16810 20500 25240 25871 26896 31550 33620 41000 42025 50480 51742 63100 67240 78875 82000 84050 103484 126200 129355 134480 157750 168100 206968 210125 252400 258710 315500 336200 413936 420250 517420 631000 646775 672400 840500 1034840 1060711 1262000 1293550 1681000 2069680 2121422 2587100 3233875 3362000 4242844 5174200 5303555 6467750 8485688 10348400 10607110 12935500 16971376 21214220 25871000 26517775 42428440 51742000 53035550 84856880 106071100 132588875 212142200 265177750 424284400 530355500 1060711000 2121422000