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1220320430 = 257231495087
BaseRepresentation
bin100100010111100…
…1001110010101110
310011001020200220222
41020233021302232
54444400223210
6321031411342
742145360340
oct11057116256
93131220828
101220320430
1157692588a
122a0823b52
13165a8a6c4
14b80dd290
1572201655
hex48bc9cae

1220320430 has 64 divisors (see below), whose sum is σ = 2637619200. Its totient is φ = 397440384.

The previous prime is 1220320427. The next prime is 1220320441. The reversal of 1220320430 is 340230221.

It is a junction number, because it is equal to n+sod(n) for n = 1220320399 and 1220320408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237347 + ... + 242433.

It is an arithmetic number, because the mean of its divisors is an integer number (41212800).

Almost surely, 21220320430 is an apocalyptic number.

1220320430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220320430 is an abundant number, since it is smaller than the sum of its proper divisors (1417298770).

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

1220320430 is a wasteful number, since it uses less digits than its factorization.

1220320430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1220320430 is about 34933.0850341048. The cubic root of 1220320430 is about 1068.6232708620.

Adding to 1220320430 its reverse (340230221), we get a palindrome (1560550651).

The spelling of 1220320430 in words is "one billion, two hundred twenty million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 149 161 230 298 322 745 805 1043 1490 1610 2086 3427 5087 5215 6854 10174 10430 17135 23989 25435 34270 35609 47978 50870 71218 117001 119945 178045 234002 239890 356090 585005 757963 819007 1170010 1515926 1638014 3789815 4095035 5305741 7579630 8190070 10611482 17433149 26528705 34866298 53057410 87165745 122032043 174331490 244064086 610160215 1220320430