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21122222000 = 2453113130971
BaseRepresentation
bin10011101010111110…
…111000011110110000
32000112001012001102112
4103222332320132300
5321224242101000
613411534304452
71345266632105
oct235276703660
960461161375
1021122222000
118a59a42020
124115958128
131cb8039219
14104536aaac
15839541235
hex4eafb87b0

21122222000 has 160 divisors (see below), whose sum is σ = 57515747328. Its totient is φ = 7432800000.

The previous prime is 21122221973. The next prime is 21122222057. The reversal of 21122222000 is 22222112.

It is a super-2 number, since 2×211222220002 (a number of 21 digits) contains 22 as substring.

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, 666515 + ... + 697485.

Almost surely, 221122222000 is an apocalyptic number.

21122222000 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 21122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757873664).

21122222000 is an abundant number, since it is smaller than the sum of its proper divisors (36393525328).

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

21122222000 is a wasteful number, since it uses less digits than its factorization.

21122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31036 (or 31020 counting only the distinct ones).

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

Adding to 21122222000 its reverse (22222112), we get a palindrome (21144444112).

The spelling of 21122222000 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 30971 31000 34100 42625 61942 62000 68200 85250 123884 136400 154855 170500 247768 309710 340681 341000 495536 619420 681362 682000 774275 960101 1238840 1362724 1548550 1703405 1920202 2477680 2725448 3097100 3406810 3840404 3871375 4800505 5450896 6194200 6813620 7680808 7742750 8517025 9601010 10561111 12388400 13627240 15361616 15485500 17034050 19202020 21122222 24002525 27254480 30971000 34068100 38404040 42244444 42585125 48005050 52805555 61942000 68136200 76808080 84488888 85170250 96010100 105611110 120012625 136272400 168977776 170340500 192020200 211222220 240025250 264027775 340681000 384040400 422444440 480050500 528055550 681362000 844888880 960101000 1056111100 1320138875 1920202000 2112222200 2640277750 4224444400 5280555500 10561111000 21122222000