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1226364400 = 2452791972
BaseRepresentation
bin100100100011000…
…1101010111110000
310011110121202200201
41021012031113300
510002422130100
6321405124544
742250632262
oct11106152760
93143552621
101226364400
1157a2837a8
122a2859754
131670c5711
14b8c33b32
15729e736a
hex4918d5f0

1226364400 has 90 divisors (see below), whose sum is σ = 2998858160. Its totient is φ = 481877760.

The previous prime is 1226364397. The next prime is 1226364401. The reversal of 1226364400 is 44636221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226364401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6225102 + ... + 6225298.

Almost surely, 21226364400 is an apocalyptic number.

1226364400 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 1226364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499429080).

1226364400 is an abundant number, since it is smaller than the sum of its proper divisors (1772493760).

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

1226364400 is an equidigital number, since it uses as much as digits as its factorization.

1226364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1226364400 is about 35019.4860042234. The cubic root of 1226364400 is about 1070.3845824009.

The spelling of 1226364400 in words is "one billion, two hundred twenty-six million, three hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 197 200 316 394 395 400 632 788 790 985 1264 1576 1580 1970 1975 3152 3160 3940 3950 4925 6320 7880 7900 9850 15563 15760 15800 19700 31126 31600 38809 39400 62252 77618 77815 78800 124504 155236 155630 194045 249008 310472 311260 388090 389075 620944 622520 776180 778150 970225 1245040 1552360 1556300 1940450 3065911 3104720 3112600 3880900 6131822 6225200 7761800 12263644 15329555 15523600 24527288 30659110 49054576 61318220 76647775 122636440 153295550 245272880 306591100 613182200 1226364400