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1022972216 = 2372293107
BaseRepresentation
bin111100111110010…
…101000100111000
32122021220101001212
4330332111010320
54043340102331
6245301502252
734231056200
oct7476250470
92567811055
101022972216
11485494192
12246711988
13133c21406
1499c0b400
155ec1cd2b
hex3cf95138

1022972216 has 96 divisors (see below), whose sum is σ = 2332508400. Its totient is φ = 419342784.

The previous prime is 1022972213. The next prime is 1022972221. The reversal of 1022972216 is 6122792201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022972213) 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, 9560435 + ... + 9560541.

Almost surely, 21022972216 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 1022972216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166254200).

1022972216 is an abundant number, since it is smaller than the sum of its proper divisors (1309536184).

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

1022972216 is an equidigital number, since it uses as much as digits as its factorization.

1022972216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1022972216 is about 31983.9368433594. The cubic root of 1022972216 is about 1007.5995065369.

The spelling of 1022972216 in words is "one billion, twenty-two million, nine hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 107 116 196 203 214 232 392 406 428 749 812 841 856 1421 1498 1624 1682 2842 2996 3103 3364 5243 5684 5887 5992 6206 6728 10486 11368 11774 12412 20972 21721 23548 24389 24824 41209 41944 43442 47096 48778 82418 86884 89987 97556 152047 164836 170723 173768 179974 195112 304094 329672 341446 359948 608188 629909 682892 719896 1195061 1216376 1259818 1365784 2390122 2519636 2609623 4409363 4780244 5039272 5219246 8818726 9560488 10438492 17637452 18267361 20876984 35274904 36534722 73069444 127871527 146138888 255743054 511486108 1022972216