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4132202240 = 28517533583
BaseRepresentation
bin1111011001001100…
…0110011100000000
3101122222110121211102
43312103012130000
531430320432430
61522011233532
7204254065565
oct36623063400
911588417742
104132202240
11183057a781
12973a488a8
1350b12b6aa
142b2b2886c
15192b8b345
hexf64c6700

4132202240 has 144 divisors (see below), whose sum is σ = 10680864768. Its totient is φ = 1525874688.

The previous prime is 4132202177. The next prime is 4132202273. The reversal of 4132202240 is 422022314.

It is a super-2 number, since 2×41322022402 = 34150190704522035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1151489 + ... + 1155071.

It is an arithmetic number, because the mean of its divisors is an integer number (74172672).

Almost surely, 24132202240 is an apocalyptic number.

4132202240 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 4132202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340432384).

4132202240 is an abundant number, since it is smaller than the sum of its proper divisors (6548662528).

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

4132202240 is a wasteful number, since it uses less digits than its factorization.

4132202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4132202240 is about 64282.2078027816. The cubic root of 4132202240 is about 1604.7000134854.

Adding to 4132202240 its reverse (422022314), we get a palindrome (4554224554).

The spelling of 4132202240 in words is "four billion, one hundred thirty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 128 136 160 170 212 256 265 272 320 340 424 530 544 640 680 848 901 1060 1088 1280 1360 1696 1802 2120 2176 2720 3392 3583 3604 4240 4352 4505 5440 6784 7166 7208 8480 9010 10880 13568 14332 14416 16960 17915 18020 21760 28664 28832 33920 35830 36040 57328 57664 60911 67840 71660 72080 114656 115328 121822 143320 144160 189899 229312 230656 243644 286640 288320 304555 379798 458624 487288 573280 576640 609110 759596 917248 949495 974576 1146560 1153280 1218220 1519192 1898990 1949152 2293120 2436440 3038384 3228283 3797980 3898304 4586240 4872880 6076768 6456566 7595960 7796608 9745760 12153536 12913132 15191920 15593216 16141415 19491520 24307072 25826264 30383840 32282830 38983040 48614144 51652528 60767680 64565660 77966080 103305056 121535360 129131320 206610112 243070720 258262640 413220224 516525280 826440448 1033050560 2066101120 4132202240