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1004222772 = 22357373989
BaseRepresentation
bin111011110110110…
…011100100110100
32120222121210200000
4323312303210310
54024040112042
6243351551300
733612516120
oct7366634464
92528553600
101004222772
11475948483
1224038b530
13130088277
149752a580
155d26774c
hex3bdb3934

1004222772 has 144 divisors (see below), whose sum is σ = 3090622080. Its totient is φ = 279096192.

The previous prime is 1004222771. The next prime is 1004222783. The reversal of 1004222772 is 2772224001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004222771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249754 + ... + 253742.

Almost surely, 21004222772 is an apocalyptic number.

1004222772 is a gapful number since it is divisible by the number (12) 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 1004222772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545311040).

1004222772 is an abundant number, since it is smaller than the sum of its proper divisors (2086399308).

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

1004222772 is a wasteful number, since it uses less digits than its factorization.

1004222772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1004222772 is about 31689.4741515223. The cubic root of 1004222772 is about 1001.4056139903.

Adding to 1004222772 its reverse (2772224001), we get a palindrome (3776446773).

The spelling of 1004222772 in words is "one billion, four million, two hundred twenty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 243 252 259 324 333 378 444 486 518 567 666 756 777 972 999 1036 1134 1332 1554 1701 1998 2268 2331 2997 3108 3402 3989 3996 4662 5994 6804 6993 7978 8991 9324 11967 11988 13986 15956 17982 20979 23934 27923 27972 35901 35964 41958 47868 55846 62937 71802 83769 83916 107703 111692 125874 143604 147593 167538 215406 251307 251748 295186 323109 335076 430812 442779 502614 590372 646218 753921 885558 969327 1005228 1033151 1292436 1328337 1507842 1771116 1938654 2066302 2261763 2656674 3015684 3099453 3877308 3985011 4132604 4523526 5313348 6198906 6785289 7970022 9047052 9298359 11955033 12397812 13570578 15940044 18596718 23910066 27141156 27895077 35865099 37193436 47820132 55790154 71730198 83685231 111580308 143460396 167370462 251055693 334740924 502111386 1004222772