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107222040 = 23325476337
BaseRepresentation
bin1100110010000…
…01010000011000
321110202102222200
412121001100120
5204422101130
614350050200
72441241462
oct631012030
9243672880
10107222040
1155584562
122baa9960
13192a1ac3
1410351132
15962e760
hex6641418

107222040 has 96 divisors (see below), whose sum is σ = 355942080. Its totient is φ = 27979776.

The previous prime is 107222033. The next prime is 107222069. The reversal of 107222040 is 40222701.

It is a super-2 number, since 2×1072220402 = 22993131723523200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13752 + ... + 20088.

It is an arithmetic number, because the mean of its divisors is an integer number (3707730).

Almost surely, 2107222040 is an apocalyptic number.

107222040 is a gapful number since it is divisible by the number (10) 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 107222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177971040).

107222040 is an abundant number, since it is smaller than the sum of its proper divisors (248720040).

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

107222040 is a wasteful number, since it uses less digits than its factorization.

107222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107222040 is about 10354.8075790910. The cubic root of 107222040 is about 475.0741010895.

Adding to 107222040 its reverse (40222701), we get a palindrome (147444741).

The spelling of 107222040 in words is "one hundred seven million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 6337 8460 12674 16920 19011 25348 31685 38022 50696 57033 63370 76044 95055 114066 126740 152088 190110 228132 253480 285165 297839 380220 456264 570330 595678 760440 893517 1140660 1191356 1489195 1787034 2281320 2382712 2680551 2978390 3574068 4467585 5361102 5956780 7148136 8935170 10722204 11913560 13402755 17870340 21444408 26805510 35740680 53611020 107222040