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422214204636 = 2232719233833989
BaseRepresentation
bin1100010010011011110…
…11010111110011011100
31111100210211111212222200
412021031323113303130
523404143314022021
6521543523411500
742334601345010
oct6111573276334
91440724455880
10422214204636
11153072a03104
12699b2823b90
1330a7897bc23
1416614582540
15aeb1c3a126
hex624ded7cdc

422214204636 has 144 divisors (see below), whose sum is σ = 1339749465600. Its totient is φ = 109314665856.

The previous prime is 422214204631. The next prime is 422214204653. The reversal of 422214204636 is 636402412224.

422214204636 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 14 + 2 + 0 + 4 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 422214204636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422214204631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806871 + ... + 2027118.

Almost surely, 2422214204636 is an apocalyptic number.

422214204636 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

422214204636 is an abundant number, since it is smaller than the sum of its proper divisors (917535260964).

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

422214204636 is a wasteful number, since it uses less digits than its factorization.

422214204636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834048 (or 3834043 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 422214204636 in words is "four hundred twenty-two billion, two hundred fourteen million, two hundred four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 36 38 42 46 57 63 69 76 84 92 114 126 133 138 161 171 207 228 252 266 276 322 342 399 414 437 483 532 644 684 798 828 874 966 1197 1311 1449 1596 1748 1932 2394 2622 2898 3059 3933 4788 5244 5796 6118 7866 9177 12236 15732 18354 27531 36708 55062 110124 3833989 7667978 11501967 15335956 23003934 26837923 34505901 46007868 53675846 69011802 72845791 80513769 88181747 107351692 138023604 145691582 161027538 176363494 218537373 241541307 264545241 291383164 322055076 352726988 437074746 483082614 509920537 529090482 617272229 655612119 793635723 874149492 966165228 1019841074 1058180964 1234544458 1311224238 1529761611 1587271446 1675453193 1851816687 2039682148 2469088916 2622448476 3059523222 3174542892 3350906386 3703633374 4589284833 5026359579 5555450061 6119046444 6701812772 7407266748 9178569666 10052719158 11110900122 11728172351 15079078737 18357139332 20105438316 22221800244 23456344702 30158157474 35184517053 46912689404 60316314948 70369034106 105553551159 140738068212 211107102318 422214204636