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445214234220 = 223572152399431
BaseRepresentation
bin1100111101010001101…
…01100001011001101100
31120120011202010110011020
412132220311201121230
524243244320443340
6540310102054140
744110552356600
oct6365065413154
91516152113136
10445214234220
111618a5912818
127235141a350
1332ca2a4b6a2
141779707b500
15b8ab0539d0
hex67a8d6166c

445214234220 has 144 divisors (see below), whose sum is σ = 1451093107968. Its totient is φ = 101695413120.

The previous prime is 445214234203. The next prime is 445214234239. The reversal of 445214234220 is 22432412544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4427905 + ... + 4527335.

It is an arithmetic number, because the mean of its divisors is an integer number (10077035472).

Almost surely, 2445214234220 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 445214234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725546553984).

445214234220 is an abundant number, since it is smaller than the sum of its proper divisors (1005878873748).

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

445214234220 is a wasteful number, since it uses less digits than its factorization.

445214234220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100980 (or 100971 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 445214234220 its reverse (22432412544), we get a palindrome (467646646764).

The spelling of 445214234220 in words is "four hundred forty-five billion, two hundred fourteen million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1523 2940 3046 4569 6092 7615 9138 10661 15230 18276 21322 22845 30460 31983 42644 45690 53305 63966 74627 91380 99431 106610 127932 149254 159915 198862 213220 223881 298293 298508 319830 373135 397724 447762 497155 596586 639660 696017 746270 895524 994310 1119405 1193172 1392034 1491465 1492540 1988620 2088051 2238810 2784068 2982930 3480085 4176102 4477620 4872119 5965860 6960170 8352204 9744238 10440255 13920340 14616357 19488476 20880510 24360595 29232714 41761020 48721190 58465428 73081785 97442380 146163570 151433413 292327140 302866826 454300239 605733652 757167065 908600478 1060033891 1514334130 1817200956 2120067782 2271501195 3028668260 3180101673 4240135564 4543002390 5300169455 6360203346 7420237237 9086004780 10600338910 12720406692 14840474474 15900508365 21200677820 22260711711 29680948948 31801016730 37101186185 44521423422 63602033460 74202372370 89042846844 111303558555 148404744740 222607117110 445214234220