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1220400440 = 235714712963
BaseRepresentation
bin100100010111101…
…1101010100111000
310011001101202200022
41020233131110320
54444410303230
6321033230012
742146142530
oct11057352470
93131352608
101220400440
1157697aa06
122a0862308
13165ab7c4c
14b81204c0
157221a1e5
hex48bdd538

1220400440 has 64 divisors (see below), whose sum is σ = 3141365760. Its totient is φ = 417997440.

The previous prime is 1220400439. The next prime is 1220400451. The reversal of 1220400440 is 440040221.

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, 410399 + ... + 413361.

It is an arithmetic number, because the mean of its divisors is an integer number (49083840).

Almost surely, 21220400440 is an apocalyptic number.

1220400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220400440 is an abundant number, since it is smaller than the sum of its proper divisors (1920965320).

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

1220400440 is a wasteful number, since it uses less digits than its factorization.

1220400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1220400440 is about 34934.2302047719. The cubic root of 1220400440 is about 1068.6466250230.

Adding to 1220400440 its reverse (440040221), we get a palindrome (1660440661).

The spelling of 1220400440 in words is "one billion, two hundred twenty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1471 2942 2963 5884 5926 7355 10297 11768 11852 14710 14815 20594 20741 23704 29420 29630 41188 41482 51485 58840 59260 82376 82964 102970 103705 118520 165928 205940 207410 411880 414820 829640 4358573 8717146 17434292 21792865 30510011 34868584 43585730 61020022 87171460 122040044 152550055 174342920 244080088 305100110 610200220 1220400440