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1225419030 = 234511212503
BaseRepresentation
bin100100100001010…
…0110100100010110
310011101211201220000
41021002212210112
510002201402110
6321332552130
742236614143
oct11102464426
93141751800
101225419030
11579798500
122a2482646
13166b54324
14b8a693ca
15728ac1c0
hex490a6916

1225419030 has 120 divisors (see below), whose sum is σ = 3622083696. Its totient is φ = 297047520.

The previous prime is 1225418993. The next prime is 1225419043. The reversal of 1225419030 is 309145221.

1225419030 is a `hidden beast` number, since 1 + 2 + 2 + 541 + 90 + 30 = 666.

It is a super-2 number, since 2×12254190302 = 3003303598172281800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1225418985 and 1225419003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91759 + ... + 104261.

Almost surely, 21225419030 is an apocalyptic number.

1225419030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225419030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811041848).

1225419030 is an abundant number, since it is smaller than the sum of its proper divisors (2396664666).

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

1225419030 is a wasteful number, since it uses less digits than its factorization.

1225419030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1225419030 is about 35005.9856310317. The cubic root of 1225419030 is about 1070.1094685219.

The spelling of 1225419030 in words is "one billion, two hundred twenty-five million, four hundred nineteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 270 297 330 363 405 495 594 605 726 810 891 990 1089 1210 1485 1782 1815 2178 2970 3267 3630 4455 5445 6534 8910 9801 10890 12503 16335 19602 25006 32670 37509 49005 62515 75018 98010 112527 125030 137533 187545 225054 275066 337581 375090 412599 562635 675162 687665 825198 1012743 1125270 1237797 1375330 1512863 1687905 2025486 2062995 2475594 3025726 3375810 3713391 4125990 4538589 5063715 6188985 7426782 7564315 9077178 10127430 11140173 12377970 13615767 15128630 18566955 22280346 22692945 27231534 37133910 40847301 45385890 55700865 68078835 81694602 111401730 122541903 136157670 204236505 245083806 408473010 612709515 1225419030