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4220132310224 = 2417231574296647
BaseRepresentation
bin111101011010010011011…
…111001011110011010000
3112221102220021110201011222
4331122103133023303100
51023120312332411344
612550411345224212
7613615545526115
oct75322337136320
915842807421158
104220132310224
111387825741486
12581a81932068
13247c590396bc
1410838110890c
1574b96ad35ee
hex3d6937cbcd0

4220132310224 has 80 divisors (see below), whose sum is σ = 9091432182528. Its totient is φ = 1887499401216.

The previous prime is 4220132310223. The next prime is 4220132310239.

4220132310224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4220132310193 and 4220132310202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220132310223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166132 + ... + 3130515.

Almost surely, 24220132310224 is an apocalyptic number.

It is an amenable number.

4220132310224 is an abundant number, since it is smaller than the sum of its proper divisors (4871299872304).

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

4220132310224 is a wasteful number, since it uses less digits than its factorization.

4220132310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296852 (or 4296846 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 4220132310224 in words is "four trillion, two hundred twenty billion, one hundred thirty-two million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 157 184 272 314 368 391 628 782 1256 1564 2512 2669 3128 3611 5338 6256 7222 10676 14444 21352 28888 42704 57776 61387 122774 245548 491096 982192 4296647 8593294 17186588 34373176 68746352 73042999 98822881 146085998 197645762 292171996 395291524 584343992 674573579 790583048 1168687984 1349147158 1581166096 1679988977 2698294316 3359977954 5396588632 6719955908 10793177264 11467750843 13439911816 15515192317 22935501686 26879823632 31030384634 45871003372 62060769268 91742006744 124121538536 183484013488 248243077072 263758269389 527516538778 1055033077556 2110066155112 4220132310224