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1331974224 = 243272415483
BaseRepresentation
bin100111101100100…
…0101000001010000
310102211100022010200
41033121011001100
510211441133344
6340100455200
745002410530
oct11731050120
93384308120
101331974224
11623956a49
123120aa500
13182c51739
14c8c854c0
157be09069
hex4f645050

1331974224 has 120 divisors (see below), whose sum is σ = 4278660672. Its totient is φ = 378915840.

The previous prime is 1331974187. The next prime is 1331974247. The reversal of 1331974224 is 4224791331.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 240187 + ... + 245669.

Almost surely, 21331974224 is an apocalyptic number.

1331974224 is a gapful number since it is divisible by the number (14) 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 1331974224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139330336).

1331974224 is an abundant number, since it is smaller than the sum of its proper divisors (2946686448).

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

1331974224 is a wasteful number, since it uses less digits than its factorization.

1331974224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5736 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1331974224 is about 36496.2220510562. Note that the first 3 decimals coincide. The cubic root of 1331974224 is about 1100.2683158134.

The spelling of 1331974224 in words is "one billion, three hundred thirty-one million, nine hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 241 252 336 482 504 723 964 1008 1446 1687 1928 2169 2892 3374 3856 4338 5061 5483 5784 6748 8676 10122 10966 11568 13496 15183 16449 17352 20244 21932 26992 30366 32898 34704 38381 40488 43864 49347 60732 65796 76762 80976 87728 98694 115143 121464 131592 153524 197388 230286 242928 263184 307048 345429 394776 460572 614096 690858 789552 921144 1321403 1381716 1842288 2642806 2763432 3964209 5285612 5526864 7928418 9249821 10571224 11892627 15856836 18499642 21142448 23785254 27749463 31713672 36999284 47570508 55498926 63427344 73998568 83248389 95141016 110997852 147997136 166496778 190282032 221995704 332993556 443991408 665987112 1331974224