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1972225836 = 2232779157631
BaseRepresentation
bin111010110001101…
…1100011100101100
312002110002110020100
41311203130130230
513014342211321
6523411351100
766605433360
oct16543343454
95073073210
101972225836
119222a7509
124705b2490
132557a1549
14149d092a0
15b8228326
hex758dc72c

1972225836 has 144 divisors (see below), whose sum is σ = 5815613440. Its totient is φ = 551940480.

The previous prime is 1972225817. The next prime is 1972225861. The reversal of 1972225836 is 6385222791.

It is a junction number, because it is equal to n+sod(n) for n = 1972225791 and 1972225800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125241 + ... + 3125871.

Almost surely, 21972225836 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 1972225836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907806720).

1972225836 is an abundant number, since it is smaller than the sum of its proper divisors (3843387604).

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

1972225836 is a wasteful number, since it uses less digits than its factorization.

1972225836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 879 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1972225836 is about 44409.7493350278. The cubic root of 1972225836 is about 1254.0616332275.

The spelling of 1972225836 in words is "one billion, nine hundred seventy-two million, two hundred twenty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 157 158 237 252 314 316 471 474 553 628 631 711 942 948 1099 1106 1262 1413 1422 1659 1884 1893 2198 2212 2524 2826 2844 3297 3318 3786 4396 4417 4977 5652 5679 6594 6636 7572 8834 9891 9954 11358 12403 13188 13251 17668 19782 19908 22716 24806 26502 37209 39564 39753 49612 49849 53004 74418 79506 86821 99067 99698 111627 148836 149547 159012 173642 198134 199396 223254 260463 297201 299094 347284 348943 396268 446508 448641 520926 594402 598188 693469 697886 781389 891603 897282 1041852 1046829 1188804 1386938 1395772 1562778 1783206 1794564 2080407 2093658 2773876 3125556 3140487 3566412 4160814 4187316 6241221 6280974 7826293 8321628 12482442 12561948 15652586 23478879 24964884 31305172 46957758 54784051 70436637 93915516 109568102 140873274 164352153 219136204 281746548 328704306 493056459 657408612 986112918 1972225836