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1223000400 = 243521759951
BaseRepresentation
bin100100011100101…
…1000000101010000
310011020021212011010
41020321120011100
510001042003100
6321205050520
742210221556
oct11071300520
93136255133
101223000400
11578396336
122a16b6a40
131664b849b
14b85d9bd6
1572580750
hex48e58150

1223000400 has 120 divisors (see below), whose sum is σ = 4148198784. Its totient is φ = 306944000.

The previous prime is 1223000393. The next prime is 1223000419. The reversal of 1223000400 is 40003221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9576 + ... + 50375.

Almost surely, 21223000400 is an apocalyptic number.

1223000400 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 1223000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074099392).

1223000400 is an abundant number, since it is smaller than the sum of its proper divisors (2925198384).

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

1223000400 is a wasteful number, since it uses less digits than its factorization.

1223000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59989 (or 59978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1223000400 is about 34971.4226190471. The cubic root of 1223000400 is about 1069.4049738523.

Adding to 1223000400 its reverse (40003221), we get a palindrome (1263003621).

The spelling of 1223000400 in words is "one billion, two hundred twenty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 59951 119902 179853 239804 299755 359706 479608 599510 719412 899265 959216 1019167 1199020 1438824 1498775 1798530 2038334 2398040 2877648 2997550 3057501 3597060 4076668 4496325 4796080 5095835 5995100 6115002 7194120 8153336 8992650 10191670 11990200 12230004 14388240 15287505 16306672 17985300 20383340 23980400 24460008 25479175 30575010 35970600 40766680 48920016 50958350 61150020 71941200 76437525 81533360 101916700 122300040 152875050 203833400 244600080 305750100 407666800 611500200 1223000400