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1223397252 = 22327111094049
BaseRepresentation
bin100100011101011…
…1000111110000100
310011021001000112100
41020322320332010
510001142203002
6321221352100
742213463560
oct11072707604
93137030470
101223397252
11578637510
122a1868630
131665c6ccc
14b86a06a0
157260d11c
hex48eb8f84

1223397252 has 144 divisors (see below), whose sum is σ = 3891888000. Its totient is φ = 314772480.

The previous prime is 1223397221. The next prime is 1223397269. The reversal of 1223397252 is 2527933221.

It is a happy number.

1223397252 is a `hidden beast` number, since 12 + 2 + 3 + 397 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300124 + ... + 304172.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 21223397252 is an apocalyptic number.

1223397252 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 1223397252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944000).

1223397252 is an abundant number, since it is smaller than the sum of its proper divisors (2668490748).

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

1223397252 is a wasteful number, since it uses less digits than its factorization.

1223397252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4181 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 1223397252 is about 34977.0961058805. The cubic root of 1223397252 is about 1069.5206319248.

The spelling of 1223397252 in words is "one billion, two hundred twenty-three million, three hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 109 126 132 154 198 218 231 252 308 327 396 436 462 654 693 763 924 981 1199 1308 1386 1526 1962 2289 2398 2772 3052 3597 3924 4049 4578 4796 6867 7194 8098 8393 9156 10791 12147 13734 14388 16196 16786 21582 24294 25179 27468 28343 33572 36441 43164 44539 48588 50358 56686 72882 75537 85029 89078 100716 113372 133617 145764 151074 170058 178156 255087 267234 302148 311773 340116 400851 441341 510174 534468 623546 801702 882682 935319 1020348 1247092 1324023 1603404 1765364 1870638 2648046 2805957 3089387 3741276 3972069 4854751 5296092 5611914 6178774 7944138 9268161 9709502 11223828 12357548 14564253 15888276 18536322 19419004 27804483 29128506 33983257 37072644 43692759 55608966 58257012 67966514 87385518 101949771 111217932 135933028 174771036 203899542 305849313 407799084 611698626 1223397252