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1397222928 = 2432174113921
BaseRepresentation
bin101001101000111…
…1110111000010000
310121101010021112100
41103101332320100
510330142113203
6350351200400
746424125143
oct12321767020
93541107470
101397222928
116577722a2
1232bb16100
1319361873a
14d37cc05a
15829e6ea3
hex5347ee10

1397222928 has 120 divisors (see below), whose sum is σ = 4241587896. Its totient is φ = 427622400.

The previous prime is 1397222927. The next prime is 1397222933. The reversal of 1397222928 is 8292227931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126157824 + 1271065104 = 11232^2 + 35652^2 .

It is not an unprimeable number, because it can be changed into a prime (1397222927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93408 + ... + 107328.

Almost surely, 21397222928 is an apocalyptic number.

1397222928 is a gapful number since it is divisible by the number (18) 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 1397222928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120793948).

1397222928 is an abundant number, since it is smaller than the sum of its proper divisors (2844364968).

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

1397222928 is a wasteful number, since it uses less digits than its factorization.

1397222928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13984 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1397222928 is about 37379.4452607312. The cubic root of 1397222928 is about 1117.9487668041.

The spelling of 1397222928 in words is "one billion, three hundred ninety-seven million, two hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 306 328 369 408 492 612 656 697 738 816 984 1224 1394 1476 1968 2091 2448 2788 2952 4182 5576 5904 6273 8364 11152 12546 13921 16728 25092 27842 33456 41763 50184 55684 83526 100368 111368 125289 167052 222736 236657 250578 334104 473314 501156 570761 668208 709971 946628 1002312 1141522 1419942 1712283 1893256 2004624 2129913 2283044 2839884 3424566 3786512 4259826 4566088 5136849 5679768 6849132 8519652 9132176 9702937 10273698 11359536 13698264 17039304 19405874 20547396 27396528 29108811 34078608 38811748 41094792 58217622 77623496 82189584 87326433 116435244 155246992 174652866 232870488 349305732 465740976 698611464 1397222928