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46225216 = 2623311013
BaseRepresentation
bin1011000001010…
…1011101000000
310012222111002001
42300111131000
543313201331
64330433344
71100623252
oct260253500
9105874061
1046225216
1124102764
1213592854
1397661cb
1461d3cd2
1540d1561
hex2c15740

46225216 has 56 divisors (see below), whose sum is σ = 98901504. Its totient is φ = 21373440.

The previous prime is 46225213. The next prime is 46225219. The reversal of 46225216 is 61252264.

It is an interprime number because it is at equal distance from previous prime (46225213) and next prime (46225219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46225211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45126 + ... + 46138.

Almost surely, 246225216 is an apocalyptic number.

46225216 is a gapful number since it is divisible by the number (46) 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 46225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450752).

46225216 is an abundant number, since it is smaller than the sum of its proper divisors (52676288).

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

46225216 is a wasteful number, since it uses less digits than its factorization.

46225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 46225216 is about 6798.9128542731. The cubic root of 46225216 is about 358.8885887839. Note that the first 3 decimals are identical.

The spelling of 46225216 in words is "forty-six million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1013 1426 1472 1984 2026 2852 4052 5704 8104 11408 16208 22816 23299 31403 32416 45632 46598 62806 64832 93196 125612 186392 251224 372784 502448 722269 745568 1004896 1444538 1491136 2009792 2889076 5778152 11556304 23112608 46225216