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2252912130 = 23457735443
BaseRepresentation
bin1000011001001000…
…1011011000000010
312211000020210110000
42012102023120002
514103221142010
61011315420430
7106554302640
oct20622133002
95730223400
102252912130
11a5678a257
1252a5b4716
1329b999401
141752d2190
15d2bbe7c0
hex8648b602

2252912130 has 160 divisors (see below), whose sum is σ = 7019362944. Its totient is φ = 507803904.

The previous prime is 2252912119. The next prime is 2252912149. The reversal of 2252912130 is 312192522.

It is a happy number.

2252912130 is a `hidden beast` number, since 2 + 2 + 529 + 1 + 2 + 130 = 666.

It is a super-2 number, since 2×22529121302 = 10151226131002273800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2252912094 and 2252912103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 411189 + ... + 416631.

Almost surely, 22252912130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252912130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509681472).

2252912130 is an abundant number, since it is smaller than the sum of its proper divisors (4766450814).

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

2252912130 is a wasteful number, since it uses less digits than its factorization.

2252912130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2252912130 is about 47464.8515219420. The cubic root of 2252912130 is about 1310.9357822437.

The spelling of 2252912130 in words is "two billion, two hundred fifty-two million, nine hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 81 90 105 126 135 146 162 189 210 219 270 315 365 378 405 438 511 567 630 657 730 810 945 1022 1095 1134 1314 1533 1890 1971 2190 2555 2835 3066 3285 3942 4599 5110 5443 5670 5913 6570 7665 9198 9855 10886 11826 13797 15330 16329 19710 22995 27215 27594 29565 32658 38101 41391 45990 48987 54430 59130 68985 76202 81645 82782 97974 114303 137970 146961 163290 190505 206955 228606 244935 293922 342909 381010 397339 413910 440883 489870 571515 685818 734805 794678 881766 1028727 1143030 1192017 1469610 1714545 1986695 2057454 2204415 2384034 2781373 3086181 3429090 3576051 3973390 4408830 5143635 5562746 5960085 6172362 7152102 8344119 10287270 10728153 11920170 13906865 15430905 16688238 17880255 21456306 25032357 27813730 30861810 32184459 35760510 41720595 50064714 53640765 64368918 75097071 83441190 107281530 125161785 150194142 160922295 225291213 250323570 321844590 375485355 450582426 750970710 1126456065 2252912130