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1220430400 = 26527108967
BaseRepresentation
bin100100010111110…
…0100101001000000
310011001110021202221
41020233210221000
54444412233100
6321034020424
742146326060
oct11057445100
93131407687
101220430400
115769a0472
122a0877714
13165ac8787
14b812b3a0
157222401a
hex48be4a40

1220430400 has 84 divisors (see below), whose sum is σ = 3432056128. Its totient is φ = 418429440.

The previous prime is 1220430383. The next prime is 1220430427. The reversal of 1220430400 is 40340221.

It is a super-2 number, since 2×12204304002 = 2978900722488320000, which contains 22 as substring.

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

It is a congruent number.

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, 43284 + ... + 65683.

Almost surely, 21220430400 is an apocalyptic number.

1220430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220430400 is an abundant number, since it is smaller than the sum of its proper divisors (2211625728).

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

1220430400 is a wasteful number, since it uses less digits than its factorization.

1220430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108996 (or 108981 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1220430400 is about 34934.6590079251. The cubic root of 1220430400 is about 1068.6553698005.

Adding to 1220430400 its reverse (40340221), we get a palindrome (1260770621).

The spelling of 1220430400 in words is "one billion, two hundred twenty million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 108967 217934 435868 544835 762769 871736 1089670 1525538 1743472 2179340 2724175 3051076 3486944 3813845 4358680 5448350 6102152 6973888 7627690 8717360 10896700 12204304 15255380 17434720 19069225 21793400 24408608 30510760 34869440 38138450 43586800 48817216 61021520 76276900 87173600 122043040 152553800 174347200 244086080 305107600 610215200 1220430400