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1022141430 = 23454726849
BaseRepresentation
bin111100111011001…
…010001111110110
32122020100011110000
4330323022033312
54043132011210
6245232012130
734221026112
oct7473121766
92566304400
101022141430
11484a76a92
12246391046
131339c021b
1499a72742
155eb06ac0
hex3ceca3f6

1022141430 has 80 divisors (see below), whose sum is σ = 2807006400. Its totient is φ = 266761728.

The previous prime is 1022141399. The next prime is 1022141441. The reversal of 1022141430 is 341412201.

1022141430 is a `hidden beast` number, since 1 + 0 + 221 + 414 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24646 + ... + 51494.

It is an arithmetic number, because the mean of its divisors is an integer number (35087580).

Almost surely, 21022141430 is an apocalyptic number.

1022141430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403503200).

1022141430 is an abundant number, since it is smaller than the sum of its proper divisors (1784864970).

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

1022141430 is a wasteful number, since it uses less digits than its factorization.

1022141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26915 (or 26906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1022141430 is about 31970.9466547364. The cubic root of 1022141430 is about 1007.3266655402.

Adding to 1022141430 its reverse (341412201), we get a palindrome (1363553631).

The spelling of 1022141430 in words is "one billion, twenty-two million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 26849 38070 53698 80547 134245 161094 241641 268490 402735 483282 724923 805470 1208205 1261903 1449846 2174769 2416410 2523806 3624615 3785709 4349538 6309515 7249230 7571418 10873845 11357127 12619030 18928545 21747690 22714254 34071381 37857090 56785635 68142762 102214143 113571270 170356905 204428286 340713810 511070715 1022141430