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1225151488 = 21011234729
BaseRepresentation
bin100100100000110…
…0101010000000000
310011101100010220001
41021001211100000
510002114321423
6321323125344
742234421141
oct11101452000
93141303801
101225151488
115796254a0
122a2373854
13166a8c612
14b89d9ac8
1572857cad
hex49065400

1225151488 has 88 divisors (see below), whose sum is σ = 2788505280. Its totient is φ = 532561920.

The previous prime is 1225151479. The next prime is 1225151489. The reversal of 1225151488 is 8841515221.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×12251514882 = 3001992337097228288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225151489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256708 + ... + 261436.

It is an arithmetic number, because the mean of its divisors is an integer number (31687560).

Almost surely, 21225151488 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 1225151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394252640).

1225151488 is an abundant number, since it is smaller than the sum of its proper divisors (1563353792).

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

1225151488 is a wasteful number, since it uses less digits than its factorization.

1225151488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4765 counting only the distinct ones).

The product of its digits is 25600, while the sum is 37.

The square root of 1225151488 is about 35002.1640473843. The cubic root of 1225151488 is about 1070.0315849412.

The spelling of 1225151488 in words is "one billion, two hundred twenty-five million, one hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2816 2944 4048 4729 5632 5888 8096 9458 11264 11776 16192 18916 23552 32384 37832 52019 64768 75664 104038 108767 129536 151328 208076 217534 259072 302656 416152 435068 605312 832304 870136 1196437 1210624 1664608 1740272 2392874 2421248 3329216 3480544 4785748 4842496 6658432 6961088 9571496 13316864 13922176 19142992 26633728 27844352 38285984 53267456 55688704 76571968 111377408 153143936 306287872 612575744 1225151488