Search a number
-
+
33210003420 = 223251137453317
BaseRepresentation
bin11110111011011110…
…000110111111011100
310011201110110222020200
4132323132012333130
51021003230102140
623131221343500
72253655241256
oct367336067734
9104643428220
1033210003420
11130a21aa120
126529b67b90
133193426bc9
1418708b8cd6
15ce5851030
hex7bb786fdc

33210003420 has 144 divisors (see below), whose sum is σ = 112865302368. Its totient is φ = 7833300480.

The previous prime is 33210003419. The next prime is 33210003527. The reversal of 33210003420 is 2430001233.

33210003420 is a `hidden beast` number, since 3 + 321 + 0 + 0 + 0 + 342 + 0 = 666.

It is a super-2 number, since 2×332100034202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33210003393 and 33210003402.

It is a congruent number.

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, 153399 + ... + 299918.

It is an arithmetic number, because the mean of its divisors is an integer number (783786822).

Almost surely, 233210003420 is an apocalyptic number.

33210003420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33210003420 is an abundant number, since it is smaller than the sum of its proper divisors (79655298948).

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

33210003420 is a wasteful number, since it uses less digits than its factorization.

33210003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453380 (or 453375 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33210003420 its reverse (2430001233), we get a palindrome (35640004653).

The spelling of 33210003420 in words is "thirty-three billion, two hundred ten million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 453317 906634 1359951 1813268 2266585 2719902 4079853 4533170 4986487 5439804 6799755 8159706 9066340 9972974 13599510 14959461 16319412 16772729 19945948 20399265 24932435 27199020 29918922 33545458 40798530 44878383 49864870 50318187 59837844 67090916 74797305 81597060 83863645 89756766 99729740 100636374 149594610 150954561 167727290 179513532 184500019 201272748 224391915 251590935 299189220 301909122 335454580 369000038 448783830 503181870 553500057 603818244 738000076 754772805 897567660 922500095 1006363740 1107000114 1509545610 1660500171 1845000190 2214000228 2767500285 3019091220 3321000342 3690000380 5535000570 6642000684 8302500855 11070001140 16605001710 33210003420