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1225235024 = 2413231931327
BaseRepresentation
bin100100100000111…
…1001101001010000
310011101111101110222
41021001321221100
510002130010044
6321325012212
742235216526
oct11101715120
93141441428
101225235024
11579682232
122a23b4068
13166abb650
14b8a1c316
15728728ee
hex49079a50

1225235024 has 80 divisors (see below), whose sum is σ = 2683494912. Its totient is φ = 537698304.

The previous prime is 1225235003. The next prime is 1225235051. The reversal of 1225235024 is 4205325221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1225234984 and 1225235002.

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, 922649 + ... + 923975.

Almost surely, 21225235024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225235024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341747456).

1225235024 is an abundant number, since it is smaller than the sum of its proper divisors (1458259888).

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

1225235024 is a wasteful number, since it uses less digits than its factorization.

1225235024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1225235024 is about 35003.3573246910. The cubic root of 1225235024 is about 1070.0559041453.

The spelling of 1225235024 in words is "one billion, two hundred twenty-five million, two hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 193 208 299 368 386 598 772 1196 1327 1544 2392 2509 2654 3088 4439 4784 5018 5308 8878 10036 10616 17251 17756 20072 21232 30521 34502 35512 40144 57707 61042 69004 71024 115414 122084 138008 230828 244168 256111 276016 396773 461656 488336 512222 793546 923312 1024444 1587092 2048888 3174184 3329443 4097776 5890553 6348368 6658886 11781106 13317772 23562212 26635544 47124424 53271088 76577189 94248848 153154378 306308756 612617512 1225235024