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46222092240 = 2435709271639
BaseRepresentation
bin101011000011000011…
…010010011111010000
311102022022000120110020
4223003003102133100
51224130323422430
633122323503440
73224266205262
oct530303223720
9142268016406
1046222092240
111866a191035
128b5b827b80
13448816c14c
142346aadb32
151307d8eb10
hexac30d27d0

46222092240 has 80 divisors (see below), whose sum is σ = 143491113600. Its totient is φ = 12308461056.

The previous prime is 46222092199. The next prime is 46222092271. The reversal of 46222092240 is 4229022264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×462220922402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34341 + ... + 305979.

It is an arithmetic number, because the mean of its divisors is an integer number (1793638920).

Almost surely, 246222092240 is an apocalyptic number.

46222092240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46222092240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71745556800).

46222092240 is an abundant number, since it is smaller than the sum of its proper divisors (97269021360).

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

46222092240 is a wasteful number, since it uses less digits than its factorization.

46222092240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272364 (or 272358 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 46222092240 in words is "forty-six billion, two hundred twenty-two million, ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 11344 14180 17016 21270 28360 34032 42540 56720 85080 170160 271639 543278 814917 1086556 1358195 1629834 2173112 2716390 3259668 4074585 4346224 5432780 6519336 8149170 10865560 13038672 16298340 21731120 32596680 65193360 192592051 385184102 577776153 770368204 962960255 1155552306 1540736408 1925920510 2311104612 2888880765 3081472816 3851841020 4622209224 5777761530 7703682040 9244418448 11555523060 15407364080 23111046120 46222092240