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1010402224 = 241329191877
BaseRepresentation
bin111100001110011…
…000001110110000
32121102020202021121
4330032120032300
54032130332344
6244132232024
734016164036
oct7416301660
92542222247
101010402224
11479389167
1224246b614
1313143cb50
1498298556
155da88684
hex3c3983b0

1010402224 has 80 divisors (see below), whose sum is σ = 2194859520. Its totient is φ = 447390720.

The previous prime is 1010402219. The next prime is 1010402233. The reversal of 1010402224 is 4222040101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1010402198 and 1010402207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151674 + ... + 1152550.

It is an arithmetic number, because the mean of its divisors is an integer number (27435744).

Almost surely, 21010402224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097429760).

1010402224 is an abundant number, since it is smaller than the sum of its proper divisors (1184457296).

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

1010402224 is a wasteful number, since it uses less digits than its factorization.

1010402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1010402224 is about 31786.8246920009. The cubic root of 1010402224 is about 1003.4554540842.

Adding to 1010402224 its reverse (4222040101), we get a palindrome (5232442325).

The spelling of 1010402224 in words is "one billion, ten million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 191 208 232 377 382 464 754 764 877 1508 1528 1754 2483 3016 3056 3508 4966 5539 6032 7016 9932 11078 11401 14032 19864 22156 22802 25433 39728 44312 45604 50866 72007 88624 91208 101732 144014 167507 182416 203464 288028 330629 335014 406928 576056 661258 670028 1152112 1322516 1340056 2177591 2645032 2680112 4355182 4857703 5290064 8710364 9715406 17420728 19430812 34841456 38861624 63150139 77723248 126300278 252600556 505201112 1010402224