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1220198928 = 243132349431
BaseRepresentation
bin100100010111010…
…1100001000010000
310011001000112020220
41020232230020100
54444332331203
6321025033040
742144343164
oct11056541020
93131015226
101220198928
11576852573
122a0785780
13165a47300
14b80aaca4
15721ca653
hex48bac210

1220198928 has 120 divisors (see below), whose sum is σ = 3431030400. Its totient is φ = 373501440.

The previous prime is 1220198927. The next prime is 1220198933. The reversal of 1220198928 is 8298910221.

It is a self number, because there is not a number n which added to its sum of digits gives 1220198928.

It is not an unprimeable number, because it can be changed into a prime (1220198923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2830873 + ... + 2831303.

It is an arithmetic number, because the mean of its divisors is an integer number (28591920).

Almost surely, 21220198928 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 1220198928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715515200).

1220198928 is an abundant number, since it is smaller than the sum of its proper divisors (2210831472).

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

1220198928 is a wasteful number, since it uses less digits than its factorization.

1220198928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1220198928 is about 34931.3459231104. The cubic root of 1220198928 is about 1068.5878036271.

The spelling of 1220198928 in words is "one billion, two hundred twenty million, one hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 349 431 507 624 676 698 862 1014 1047 1293 1352 1396 1724 2028 2094 2586 2704 2792 3448 4056 4188 4537 5172 5584 5603 6896 8112 8376 9074 10344 11206 13611 16752 16809 18148 20688 22412 27222 33618 36296 44824 54444 58981 67236 72592 72839 89648 108888 117962 134472 145678 150419 176943 217776 218517 235924 268944 291356 300838 353886 437034 451257 471848 582712 601676 707772 874068 902514 943696 1165424 1203352 1415544 1748136 1805028 1955447 2406704 2831088 3496272 3610056 3910894 5866341 7220112 7821788 11732682 15643576 23465364 25420811 31287152 46930728 50841622 76262433 93861456 101683244 152524866 203366488 305049732 406732976 610099464 1220198928