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1020421224 = 233237383041
BaseRepresentation
bin111100110100100…
…110010001101000
32122010002202202200
4330310212101220
54042211434344
6245131100200
734200302664
oct7464462150
92563082680
101020421224
11484001629
122458a1660
1313353a254
14997458a4
155e8b7069
hex3cd26468

1020421224 has 48 divisors (see below), whose sum is σ = 2838341220. Its totient is φ = 330946560.

The previous prime is 1020421219. The next prime is 1020421247. The reversal of 1020421224 is 4221240201.

1020421224 is a `hidden beast` number, since 1 + 0 + 20 + 421 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 865418724 + 155002500 = 29418^2 + 12450^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1020421197 and 1020421206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188857 + ... + 194184.

Almost surely, 21020421224 is an apocalyptic number.

It is an amenable number.

1020421224 is an abundant number, since it is smaller than the sum of its proper divisors (1817919996).

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

1020421224 is a wasteful number, since it uses less digits than its factorization.

1020421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383090 (or 383083 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1020421224 is about 31944.0326821771. The cubic root of 1020421224 is about 1006.7612570405.

Adding to 1020421224 its reverse (4221240201), we get a palindrome (5241661425).

The spelling of 1020421224 in words is "one billion, twenty million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 383041 766082 1149123 1532164 2298246 3064328 3447369 4596492 6894738 9192984 13789476 14172517 27578952 28345034 42517551 56690068 85035102 113380136 127552653 170070204 255105306 340140408 510210612 1020421224