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1220432240 = 245412711373
BaseRepresentation
bin100100010111110…
…0101000101110000
310011001110101022002
41020233211011300
54444412312430
6321034033132
742146334326
oct11057450560
93131411262
101220432240
115769a1895
122a08787a8
13165ac9571
14b812bd16
1572224845
hex48be5170

1220432240 has 80 divisors (see below), whose sum is σ = 2919563136. Its totient is φ = 474163200.

The previous prime is 1220432231. The next prime is 1220432267. The reversal of 1220432240 is 422340221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12204322403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 888194 + ... + 889566.

Almost surely, 21220432240 is an apocalyptic number.

1220432240 is a gapful number since it is divisible by the number (10) 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 1220432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459781568).

1220432240 is an abundant number, since it is smaller than the sum of its proper divisors (1699130896).

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

1220432240 is a wasteful number, since it uses less digits than its factorization.

1220432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1220432240 is about 34934.6853427936. The cubic root of 1220432240 is about 1068.6559068582.

Adding to 1220432240 its reverse (422340221), we get a palindrome (1642772461).

It can be divided in two parts, 12204 and 32240, that added together give a palindrome (44444).

The spelling of 1220432240 in words is "one billion, two hundred twenty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 271 328 410 542 656 820 1084 1355 1373 1640 2168 2710 2746 3280 4336 5420 5492 6865 10840 10984 11111 13730 21680 21968 22222 27460 44444 54920 55555 56293 88888 109840 111110 112586 177776 222220 225172 281465 372083 444440 450344 562930 744166 888880 900688 1125860 1488332 1860415 2251720 2976664 3720830 4503440 5953328 7441660 14883320 15255403 29766640 30510806 61021612 76277015 122043224 152554030 244086448 305108060 610216120 1220432240